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Finding the Fourth Proportional to 21,254.70, 31,885 and 9,407.54

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Solution

The fourth proportional to 21,254.70, 31,885 and 9,407.54 is: 14,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.70 : 31,885 = 9,407.54 : x
  2. Step 2: Convert to fraction form
    21,254.70/31,885 = 9,407.54/x
  3. Step 3: Cross multiply
    21,254.70x = 31,885 × 9,407.54
  4. Step 4: Simplify right side
    21,254.70x = 299,959,253.48
  5. Step 5: Solve for x
    x = 299,959,253.48/21,254.70
  6. Step 6: Final answer
    x = 14,112.61

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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.