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Finding the Fourth Proportional to 14,473, 19,972.86 and 7,849

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Solution

The fourth proportional to 14,473, 19,972.86 and 7,849 is: 10,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473 : 19,972.86 = 7,849 : x
  2. Step 2: Convert to fraction form
    14,473/19,972.86 = 7,849/x
  3. Step 3: Cross multiply
    14,473x = 19,972.86 × 7,849
  4. Step 4: Simplify right side
    14,473x = 156,766,978.14
  5. Step 5: Solve for x
    x = 156,766,978.14/14,473
  6. Step 6: Final answer
    x = 10,831.69

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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.