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Finding the Fourth Proportional to 20,978.24, 28,921.20 and 15,301.76

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Solution

The fourth proportional to 20,978.24, 28,921.20 and 15,301.76 is: 21,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.24 : 28,921.20 = 15,301.76 : x
  2. Step 2: Convert to fraction form
    20,978.24/28,921.20 = 15,301.76/x
  3. Step 3: Cross multiply
    20,978.24x = 28,921.20 × 15,301.76
  4. Step 4: Simplify right side
    20,978.24x = 442,545,261.31
  5. Step 5: Solve for x
    x = 442,545,261.31/20,978.24
  6. Step 6: Final answer
    x = 21,095.44

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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.