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Finding the Fourth Proportional to 14,294.80, 19,726.50 and 8,007.28

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Solution

The fourth proportional to 14,294.80, 19,726.50 and 8,007.28 is: 11,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.80 : 19,726.50 = 8,007.28 : x
  2. Step 2: Convert to fraction form
    14,294.80/19,726.50 = 8,007.28/x
  3. Step 3: Cross multiply
    14,294.80x = 19,726.50 × 8,007.28
  4. Step 4: Simplify right side
    14,294.80x = 157,955,608.92
  5. Step 5: Solve for x
    x = 157,955,608.92/14,294.80
  6. Step 6: Final answer
    x = 11,049.86

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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.