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Finding the Fourth Proportional to 12,713.76, 17,545.14 and 7,048.62

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Solution

The fourth proportional to 12,713.76, 17,545.14 and 7,048.62 is: 9,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.76 : 17,545.14 = 7,048.62 : x
  2. Step 2: Convert to fraction form
    12,713.76/17,545.14 = 7,048.62/x
  3. Step 3: Cross multiply
    12,713.76x = 17,545.14 × 7,048.62
  4. Step 4: Simplify right side
    12,713.76x = 123,669,024.71
  5. Step 5: Solve for x
    x = 123,669,024.71/12,713.76
  6. Step 6: Final answer
    x = 9,727.18

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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.