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Finding the Fourth Proportional to 29,405.97, 40,580.13 and 15,977.12

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Solution

The fourth proportional to 29,405.97, 40,580.13 and 15,977.12 is: 22,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,405.97 : 40,580.13 = 15,977.12 : x
  2. Step 2: Convert to fraction form
    29,405.97/40,580.13 = 15,977.12/x
  3. Step 3: Cross multiply
    29,405.97x = 40,580.13 × 15,977.12
  4. Step 4: Simplify right side
    29,405.97x = 648,353,403.72
  5. Step 5: Solve for x
    x = 648,353,403.72/29,405.97
  6. Step 6: Final answer
    x = 22,048.36

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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.