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Finding the Fourth Proportional to 12,458, 18,688.80 and 8,674.88

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Solution

The fourth proportional to 12,458, 18,688.80 and 8,674.88 is: 13,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458 : 18,688.80 = 8,674.88 : x
  2. Step 2: Convert to fraction form
    12,458/18,688.80 = 8,674.88/x
  3. Step 3: Cross multiply
    12,458x = 18,688.80 × 8,674.88
  4. Step 4: Simplify right side
    12,458x = 162,123,097.34
  5. Step 5: Solve for x
    x = 162,123,097.34/12,458
  6. Step 6: Final answer
    x = 13,013.57

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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.