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Finding the Fourth Proportional to 7,057.20, 9,737.88 and 3,913.40

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Solution

The fourth proportional to 7,057.20, 9,737.88 and 3,913.40 is: 5,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.20 : 9,737.88 = 3,913.40 : x
  2. Step 2: Convert to fraction form
    7,057.20/9,737.88 = 3,913.40/x
  3. Step 3: Cross multiply
    7,057.20x = 9,737.88 × 3,913.40
  4. Step 4: Simplify right side
    7,057.20x = 38,108,219.59
  5. Step 5: Solve for x
    x = 38,108,219.59/7,057.20
  6. Step 6: Final answer
    x = 5,399.91

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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.