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Finding the Fourth Proportional to 21,236.36, 31,854.48 and 5,654

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Solution

The fourth proportional to 21,236.36, 31,854.48 and 5,654 is: 8,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.36 : 31,854.48 = 5,654 : x
  2. Step 2: Convert to fraction form
    21,236.36/31,854.48 = 5,654/x
  3. Step 3: Cross multiply
    21,236.36x = 31,854.48 × 5,654
  4. Step 4: Simplify right side
    21,236.36x = 180,105,229.92
  5. Step 5: Solve for x
    x = 180,105,229.92/21,236.36
  6. Step 6: Final answer
    x = 8,480.98

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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.