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Finding the Fourth Proportional to 13,386, 18,472.68 and 7,498

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Solution

The fourth proportional to 13,386, 18,472.68 and 7,498 is: 10,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386 : 18,472.68 = 7,498 : x
  2. Step 2: Convert to fraction form
    13,386/18,472.68 = 7,498/x
  3. Step 3: Cross multiply
    13,386x = 18,472.68 × 7,498
  4. Step 4: Simplify right side
    13,386x = 138,508,154.64
  5. Step 5: Solve for x
    x = 138,508,154.64/13,386
  6. Step 6: Final answer
    x = 10,347.24

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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.