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Finding the Fourth Proportional to 20,930.40, 28,877.76 and 17,388

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Solution

The fourth proportional to 20,930.40, 28,877.76 and 17,388 is: 23,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.40 : 28,877.76 = 17,388 : x
  2. Step 2: Convert to fraction form
    20,930.40/28,877.76 = 17,388/x
  3. Step 3: Cross multiply
    20,930.40x = 28,877.76 × 17,388
  4. Step 4: Simplify right side
    20,930.40x = 502,126,490.88
  5. Step 5: Solve for x
    x = 502,126,490.88/20,930.40
  6. Step 6: Final answer
    x = 23,990.30

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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.