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Finding the Fourth Proportional to 7,057.70, 9,740.90 and 4,073.12

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Solution

The fourth proportional to 7,057.70, 9,740.90 and 4,073.12 is: 5,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.70 : 9,740.90 = 4,073.12 : x
  2. Step 2: Convert to fraction form
    7,057.70/9,740.90 = 4,073.12/x
  3. Step 3: Cross multiply
    7,057.70x = 9,740.90 × 4,073.12
  4. Step 4: Simplify right side
    7,057.70x = 39,675,854.61
  5. Step 5: Solve for x
    x = 39,675,854.61/7,057.70
  6. Step 6: Final answer
    x = 5,621.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.