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Finding the Fourth Proportional to 6,513.76, 9,770.64 and 3,590.56

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Solution

The fourth proportional to 6,513.76, 9,770.64 and 3,590.56 is: 5,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.76 : 9,770.64 = 3,590.56 : x
  2. Step 2: Convert to fraction form
    6,513.76/9,770.64 = 3,590.56/x
  3. Step 3: Cross multiply
    6,513.76x = 9,770.64 × 3,590.56
  4. Step 4: Simplify right side
    6,513.76x = 35,082,069.16
  5. Step 5: Solve for x
    x = 35,082,069.16/6,513.76
  6. Step 6: Final answer
    x = 5,385.84

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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.