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Finding the Fourth Proportional to 13,761.16, 20,627.28 and 6,731.46

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Solution

The fourth proportional to 13,761.16, 20,627.28 and 6,731.46 is: 10,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.16 : 20,627.28 = 6,731.46 : x
  2. Step 2: Convert to fraction form
    13,761.16/20,627.28 = 6,731.46/x
  3. Step 3: Cross multiply
    13,761.16x = 20,627.28 × 6,731.46
  4. Step 4: Simplify right side
    13,761.16x = 138,851,710.23
  5. Step 5: Solve for x
    x = 138,851,710.23/13,761.16
  6. Step 6: Final answer
    x = 10,090.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.