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Finding the Fourth Proportional to 29,098, 43,647 and 9,378.58

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Solution

The fourth proportional to 29,098, 43,647 and 9,378.58 is: 14,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 43,647 = 9,378.58 : x
  2. Step 2: Convert to fraction form
    29,098/43,647 = 9,378.58/x
  3. Step 3: Cross multiply
    29,098x = 43,647 × 9,378.58
  4. Step 4: Simplify right side
    29,098x = 409,346,881.26
  5. Step 5: Solve for x
    x = 409,346,881.26/29,098
  6. Step 6: Final answer
    x = 14,067.87

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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.