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Finding the Fourth Proportional to 10,112.51, 13,951.15 and 6,126.71

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Solution

The fourth proportional to 10,112.51, 13,951.15 and 6,126.71 is: 8,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.51 : 13,951.15 = 6,126.71 : x
  2. Step 2: Convert to fraction form
    10,112.51/13,951.15 = 6,126.71/x
  3. Step 3: Cross multiply
    10,112.51x = 13,951.15 × 6,126.71
  4. Step 4: Simplify right side
    10,112.51x = 85,474,565.14
  5. Step 5: Solve for x
    x = 85,474,565.14/10,112.51
  6. Step 6: Final answer
    x = 8,452.36

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