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Finding the Fourth Proportional to 12,504.78, 18,733.68 and 8,332.47

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Solution

The fourth proportional to 12,504.78, 18,733.68 and 8,332.47 is: 12,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.78 : 18,733.68 = 8,332.47 : x
  2. Step 2: Convert to fraction form
    12,504.78/18,733.68 = 8,332.47/x
  3. Step 3: Cross multiply
    12,504.78x = 18,733.68 × 8,332.47
  4. Step 4: Simplify right side
    12,504.78x = 156,097,826.59
  5. Step 5: Solve for x
    x = 156,097,826.59/12,504.78
  6. Step 6: Final answer
    x = 12,483.05

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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.