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Finding the Fourth Proportional to 29,252.80, 43,828.80 and 13,638.40

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Solution

The fourth proportional to 29,252.80, 43,828.80 and 13,638.40 is: 20,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,252.80 : 43,828.80 = 13,638.40 : x
  2. Step 2: Convert to fraction form
    29,252.80/43,828.80 = 13,638.40/x
  3. Step 3: Cross multiply
    29,252.80x = 43,828.80 × 13,638.40
  4. Step 4: Simplify right side
    29,252.80x = 597,754,705.92
  5. Step 5: Solve for x
    x = 597,754,705.92/29,252.80
  6. Step 6: Final answer
    x = 20,434.10

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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.