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Finding the Fourth Proportional to 29,991.20, 41,390.80 and 17,415.20

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Solution

The fourth proportional to 29,991.20, 41,390.80 and 17,415.20 is: 24,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,991.20 : 41,390.80 = 17,415.20 : x
  2. Step 2: Convert to fraction form
    29,991.20/41,390.80 = 17,415.20/x
  3. Step 3: Cross multiply
    29,991.20x = 41,390.80 × 17,415.20
  4. Step 4: Simplify right side
    29,991.20x = 720,829,060.16
  5. Step 5: Solve for x
    x = 720,829,060.16/29,991.20
  6. Step 6: Final answer
    x = 24,034.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.