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Finding the Fourth Proportional to 7,057.76, 9,740 and 3,913.92

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Solution

The fourth proportional to 7,057.76, 9,740 and 3,913.92 is: 5,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.76 : 9,740 = 3,913.92 : x
  2. Step 2: Convert to fraction form
    7,057.76/9,740 = 3,913.92/x
  3. Step 3: Cross multiply
    7,057.76x = 9,740 × 3,913.92
  4. Step 4: Simplify right side
    7,057.76x = 38,121,580.80
  5. Step 5: Solve for x
    x = 38,121,580.80/7,057.76
  6. Step 6: Final answer
    x = 5,401.37

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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.