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Finding the Fourth Proportional to 29,507.80, 44,269.88 and 12,869.28

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Solution

The fourth proportional to 29,507.80, 44,269.88 and 12,869.28 is: 19,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.80 : 44,269.88 = 12,869.28 : x
  2. Step 2: Convert to fraction form
    29,507.80/44,269.88 = 12,869.28/x
  3. Step 3: Cross multiply
    29,507.80x = 44,269.88 × 12,869.28
  4. Step 4: Simplify right side
    29,507.80x = 569,721,481.29
  5. Step 5: Solve for x
    x = 569,721,481.29/29,507.80
  6. Step 6: Final answer
    x = 19,307.49

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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.