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Finding the Fourth Proportional to 32,490.78, 44,809.20 and 21,156

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Solution

The fourth proportional to 32,490.78, 44,809.20 and 21,156 is: 29,177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490.78 : 44,809.20 = 21,156 : x
  2. Step 2: Convert to fraction form
    32,490.78/44,809.20 = 21,156/x
  3. Step 3: Cross multiply
    32,490.78x = 44,809.20 × 21,156
  4. Step 4: Simplify right side
    32,490.78x = 947,983,435.20
  5. Step 5: Solve for x
    x = 947,983,435.20/32,490.78
  6. Step 6: Final answer
    x = 29,177.00

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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.