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Finding the Fourth Proportional to 10,077.15, 15,114.03 and 2,681.71

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Solution

The fourth proportional to 10,077.15, 15,114.03 and 2,681.71 is: 4,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.15 : 15,114.03 = 2,681.71 : x
  2. Step 2: Convert to fraction form
    10,077.15/15,114.03 = 2,681.71/x
  3. Step 3: Cross multiply
    10,077.15x = 15,114.03 × 2,681.71
  4. Step 4: Simplify right side
    10,077.15x = 40,531,445.39
  5. Step 5: Solve for x
    x = 40,531,445.39/10,077.15
  6. Step 6: Final answer
    x = 4,022.11

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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.