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Finding the Fourth Proportional to 7,139.71, 10,713.99 and 3,442.31

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Solution

The fourth proportional to 7,139.71, 10,713.99 and 3,442.31 is: 5,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.71 : 10,713.99 = 3,442.31 : x
  2. Step 2: Convert to fraction form
    7,139.71/10,713.99 = 3,442.31/x
  3. Step 3: Cross multiply
    7,139.71x = 10,713.99 × 3,442.31
  4. Step 4: Simplify right side
    7,139.71x = 36,880,901.70
  5. Step 5: Solve for x
    x = 36,880,901.70/7,139.71
  6. Step 6: Final answer
    x = 5,165.60

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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.