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Finding the Fourth Proportional to 29,978.47, 44,967.69 and 8,918.41

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Solution

The fourth proportional to 29,978.47, 44,967.69 and 8,918.41 is: 13,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.47 : 44,967.69 = 8,918.41 : x
  2. Step 2: Convert to fraction form
    29,978.47/44,967.69 = 8,918.41/x
  3. Step 3: Cross multiply
    29,978.47x = 44,967.69 × 8,918.41
  4. Step 4: Simplify right side
    29,978.47x = 401,040,296.17
  5. Step 5: Solve for x
    x = 401,040,296.17/29,978.47
  6. Step 6: Final answer
    x = 13,377.61

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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.