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Finding the Fourth Proportional to 7,700.90, 11,535.15 and 6,404.90

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Solution

The fourth proportional to 7,700.90, 11,535.15 and 6,404.90 is: 9,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.90 : 11,535.15 = 6,404.90 : x
  2. Step 2: Convert to fraction form
    7,700.90/11,535.15 = 6,404.90/x
  3. Step 3: Cross multiply
    7,700.90x = 11,535.15 × 6,404.90
  4. Step 4: Simplify right side
    7,700.90x = 73,881,482.24
  5. Step 5: Solve for x
    x = 73,881,482.24/7,700.90
  6. Step 6: Final answer
    x = 9,593.88

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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.