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Finding the Fourth Proportional to 14,294.97, 19,722.79 and 9,251.20

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Solution

The fourth proportional to 14,294.97, 19,722.79 and 9,251.20 is: 12,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.97 : 19,722.79 = 9,251.20 : x
  2. Step 2: Convert to fraction form
    14,294.97/19,722.79 = 9,251.20/x
  3. Step 3: Cross multiply
    14,294.97x = 19,722.79 × 9,251.20
  4. Step 4: Simplify right side
    14,294.97x = 182,459,474.85
  5. Step 5: Solve for x
    x = 182,459,474.85/14,294.97
  6. Step 6: Final answer
    x = 12,763.89

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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.