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Finding the Fourth Proportional to 21,254.76, 31,887 and 10,164.24

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Solution

The fourth proportional to 21,254.76, 31,887 and 10,164.24 is: 15,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.76 : 31,887 = 10,164.24 : x
  2. Step 2: Convert to fraction form
    21,254.76/31,887 = 10,164.24/x
  3. Step 3: Cross multiply
    21,254.76x = 31,887 × 10,164.24
  4. Step 4: Simplify right side
    21,254.76x = 324,107,120.88
  5. Step 5: Solve for x
    x = 324,107,120.88/21,254.76
  6. Step 6: Final answer
    x = 15,248.68

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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.