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Finding the Fourth Proportional to 12,582, 18,946.38 and 9,318.24

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Solution

The fourth proportional to 12,582, 18,946.38 and 9,318.24 is: 14,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 18,946.38 = 9,318.24 : x
  2. Step 2: Convert to fraction form
    12,582/18,946.38 = 9,318.24/x
  3. Step 3: Cross multiply
    12,582x = 18,946.38 × 9,318.24
  4. Step 4: Simplify right side
    12,582x = 176,546,915.97
  5. Step 5: Solve for x
    x = 176,546,915.97/12,582
  6. Step 6: Final answer
    x = 14,031.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.