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Finding the Fourth Proportional to 13,397.80, 18,488.26 and 7,429

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Solution

The fourth proportional to 13,397.80, 18,488.26 and 7,429 is: 10,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.80 : 18,488.26 = 7,429 : x
  2. Step 2: Convert to fraction form
    13,397.80/18,488.26 = 7,429/x
  3. Step 3: Cross multiply
    13,397.80x = 18,488.26 × 7,429
  4. Step 4: Simplify right side
    13,397.80x = 137,349,283.54
  5. Step 5: Solve for x
    x = 137,349,283.54/13,397.80
  6. Step 6: Final answer
    x = 10,251.63

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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.