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Finding the Fourth Proportional to 6,520.49, 9,780.78 and 1,590.12

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Solution

The fourth proportional to 6,520.49, 9,780.78 and 1,590.12 is: 2,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.49 : 9,780.78 = 1,590.12 : x
  2. Step 2: Convert to fraction form
    6,520.49/9,780.78 = 1,590.12/x
  3. Step 3: Cross multiply
    6,520.49x = 9,780.78 × 1,590.12
  4. Step 4: Simplify right side
    6,520.49x = 15,552,619.86
  5. Step 5: Solve for x
    x = 15,552,619.86/6,520.49
  6. Step 6: Final answer
    x = 2,385.19

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Half scale
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Double scale
Find fourth proportional to 6,521.49, 9,782.28 and 1,591.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.