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Finding the Fourth Proportional to 14,891.54, 20,543.78 and 9,224.78

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Solution

The fourth proportional to 14,891.54, 20,543.78 and 9,224.78 is: 12,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.54 : 20,543.78 = 9,224.78 : x
  2. Step 2: Convert to fraction form
    14,891.54/20,543.78 = 9,224.78/x
  3. Step 3: Cross multiply
    14,891.54x = 20,543.78 × 9,224.78
  4. Step 4: Simplify right side
    14,891.54x = 189,511,804.74
  5. Step 5: Solve for x
    x = 189,511,804.74/14,891.54
  6. Step 6: Final answer
    x = 12,726.14

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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.