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Finding the Fourth Proportional to 29,862, 44,801.10 and 9,085.50

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Solution

The fourth proportional to 29,862, 44,801.10 and 9,085.50 is: 13,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,862 : 44,801.10 = 9,085.50 : x
  2. Step 2: Convert to fraction form
    29,862/44,801.10 = 9,085.50/x
  3. Step 3: Cross multiply
    29,862x = 44,801.10 × 9,085.50
  4. Step 4: Simplify right side
    29,862x = 407,040,394.05
  5. Step 5: Solve for x
    x = 407,040,394.05/29,862
  6. Step 6: Final answer
    x = 13,630.71

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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.