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Finding the Fourth Proportional to 27,582, 38,063.28 and 15,006.72

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Solution

The fourth proportional to 27,582, 38,063.28 and 15,006.72 is: 20,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582 : 38,063.28 = 15,006.72 : x
  2. Step 2: Convert to fraction form
    27,582/38,063.28 = 15,006.72/x
  3. Step 3: Cross multiply
    27,582x = 38,063.28 × 15,006.72
  4. Step 4: Simplify right side
    27,582x = 571,204,985.24
  5. Step 5: Solve for x
    x = 571,204,985.24/27,582
  6. Step 6: Final answer
    x = 20,709.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.