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Finding the Fourth Proportional to 12,658.52, 18,967.01 and 8,942.58

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Solution

The fourth proportional to 12,658.52, 18,967.01 and 8,942.58 is: 13,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.52 : 18,967.01 = 8,942.58 : x
  2. Step 2: Convert to fraction form
    12,658.52/18,967.01 = 8,942.58/x
  3. Step 3: Cross multiply
    12,658.52x = 18,967.01 × 8,942.58
  4. Step 4: Simplify right side
    12,658.52x = 169,613,959.57
  5. Step 5: Solve for x
    x = 169,613,959.57/12,658.52
  6. Step 6: Final answer
    x = 13,399.19

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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.