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Finding the Fourth Proportional to 10,142.52, 13,995.18 and 5,952.12

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Solution

The fourth proportional to 10,142.52, 13,995.18 and 5,952.12 is: 8,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.52 : 13,995.18 = 5,952.12 : x
  2. Step 2: Convert to fraction form
    10,142.52/13,995.18 = 5,952.12/x
  3. Step 3: Cross multiply
    10,142.52x = 13,995.18 × 5,952.12
  4. Step 4: Simplify right side
    10,142.52x = 83,300,990.78
  5. Step 5: Solve for x
    x = 83,300,990.78/10,142.52
  6. Step 6: Final answer
    x = 8,213.05

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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.