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Finding the Fourth Proportional to 18,458, 27,686.74 and 8,591.76

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Solution

The fourth proportional to 18,458, 27,686.74 and 8,591.76 is: 12,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458 : 27,686.74 = 8,591.76 : x
  2. Step 2: Convert to fraction form
    18,458/27,686.74 = 8,591.76/x
  3. Step 3: Cross multiply
    18,458x = 27,686.74 × 8,591.76
  4. Step 4: Simplify right side
    18,458x = 237,877,825.26
  5. Step 5: Solve for x
    x = 237,877,825.26/18,458
  6. Step 6: Final answer
    x = 12,887.52

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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.