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Finding the Fourth Proportional to 14,042.68, 21,067.98 and 5,157.16

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Solution

The fourth proportional to 14,042.68, 21,067.98 and 5,157.16 is: 7,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.68 : 21,067.98 = 5,157.16 : x
  2. Step 2: Convert to fraction form
    14,042.68/21,067.98 = 5,157.16/x
  3. Step 3: Cross multiply
    14,042.68x = 21,067.98 × 5,157.16
  4. Step 4: Simplify right side
    14,042.68x = 108,650,943.74
  5. Step 5: Solve for x
    x = 108,650,943.74/14,042.68
  6. Step 6: Final answer
    x = 7,737.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.