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Finding the Fourth Proportional to 8,478.58, 12,718.44 and 2,932.46

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Solution

The fourth proportional to 8,478.58, 12,718.44 and 2,932.46 is: 4,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.58 : 12,718.44 = 2,932.46 : x
  2. Step 2: Convert to fraction form
    8,478.58/12,718.44 = 2,932.46/x
  3. Step 3: Cross multiply
    8,478.58x = 12,718.44 × 2,932.46
  4. Step 4: Simplify right side
    8,478.58x = 37,296,316.56
  5. Step 5: Solve for x
    x = 37,296,316.56/8,478.58
  6. Step 6: Final answer
    x = 4,398.89

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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.