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Finding the Fourth Proportional to 10,040.96, 15,070.68 and 5,114.14

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Solution

The fourth proportional to 10,040.96, 15,070.68 and 5,114.14 is: 7,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.96 : 15,070.68 = 5,114.14 : x
  2. Step 2: Convert to fraction form
    10,040.96/15,070.68 = 5,114.14/x
  3. Step 3: Cross multiply
    10,040.96x = 15,070.68 × 5,114.14
  4. Step 4: Simplify right side
    10,040.96x = 77,073,567.42
  5. Step 5: Solve for x
    x = 77,073,567.42/10,040.96
  6. Step 6: Final answer
    x = 7,675.92

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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.