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Finding the Fourth Proportional to 18,458, 27,698.52 and 7,514

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Solution

The fourth proportional to 18,458, 27,698.52 and 7,514 is: 11,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458 : 27,698.52 = 7,514 : x
  2. Step 2: Convert to fraction form
    18,458/27,698.52 = 7,514/x
  3. Step 3: Cross multiply
    18,458x = 27,698.52 × 7,514
  4. Step 4: Simplify right side
    18,458x = 208,126,679.28
  5. Step 5: Solve for x
    x = 208,126,679.28/18,458
  6. Step 6: Final answer
    x = 11,275.69

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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.