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Finding the Fourth Proportional to 40,731.04, 61,106.12 and 12,649.64

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Solution

The fourth proportional to 40,731.04, 61,106.12 and 12,649.64 is: 18,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,731.04 : 61,106.12 = 12,649.64 : x
  2. Step 2: Convert to fraction form
    40,731.04/61,106.12 = 12,649.64/x
  3. Step 3: Cross multiply
    40,731.04x = 61,106.12 × 12,649.64
  4. Step 4: Simplify right side
    40,731.04x = 772,970,419.80
  5. Step 5: Solve for x
    x = 772,970,419.80/40,731.04
  6. Step 6: Final answer
    x = 18,977.43

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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.