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Finding the Fourth Proportional to 14,454.68, 19,947.76 and 8,167.20

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Solution

The fourth proportional to 14,454.68, 19,947.76 and 8,167.20 is: 11,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.68 : 19,947.76 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    14,454.68/19,947.76 = 8,167.20/x
  3. Step 3: Cross multiply
    14,454.68x = 19,947.76 × 8,167.20
  4. Step 4: Simplify right side
    14,454.68x = 162,917,345.47
  5. Step 5: Solve for x
    x = 162,917,345.47/14,454.68
  6. Step 6: Final answer
    x = 11,270.91

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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.