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Finding the Fourth Proportional to 6,520.42, 9,780.50 and 1,590.08

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Solution

The fourth proportional to 6,520.42, 9,780.50 and 1,590.08 is: 2,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.42 : 9,780.50 = 1,590.08 : x
  2. Step 2: Convert to fraction form
    6,520.42/9,780.50 = 1,590.08/x
  3. Step 3: Cross multiply
    6,520.42x = 9,780.50 × 1,590.08
  4. Step 4: Simplify right side
    6,520.42x = 15,551,777.44
  5. Step 5: Solve for x
    x = 15,551,777.44/6,520.42
  6. Step 6: Final answer
    x = 2,385.09

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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.