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Finding the Fourth Proportional to 34,502.40, 51,721.92 and 11,116.80

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Solution

The fourth proportional to 34,502.40, 51,721.92 and 11,116.80 is: 16,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.40 : 51,721.92 = 11,116.80 : x
  2. Step 2: Convert to fraction form
    34,502.40/51,721.92 = 11,116.80/x
  3. Step 3: Cross multiply
    34,502.40x = 51,721.92 × 11,116.80
  4. Step 4: Simplify right side
    34,502.40x = 574,982,240.26
  5. Step 5: Solve for x
    x = 574,982,240.26/34,502.40
  6. Step 6: Final answer
    x = 16,664.99

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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.