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Finding the Fourth Proportional to 29,982.57, 44,978.25 and 9,985.29

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Solution

The fourth proportional to 29,982.57, 44,978.25 and 9,985.29 is: 14,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.57 : 44,978.25 = 9,985.29 : x
  2. Step 2: Convert to fraction form
    29,982.57/44,978.25 = 9,985.29/x
  3. Step 3: Cross multiply
    29,982.57x = 44,978.25 × 9,985.29
  4. Step 4: Simplify right side
    29,982.57x = 449,120,869.94
  5. Step 5: Solve for x
    x = 449,120,869.94/29,982.57
  6. Step 6: Final answer
    x = 14,979.40

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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.