Home / 10,142.24-15,192.16-8,157.14

Finding the Fourth Proportional to 10,142.24, 15,192.16 and 8,157.14

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Solution

The fourth proportional to 10,142.24, 15,192.16 and 8,157.14 is: 12,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.24 : 15,192.16 = 8,157.14 : x
  2. Step 2: Convert to fraction form
    10,142.24/15,192.16 = 8,157.14/x
  3. Step 3: Cross multiply
    10,142.24x = 15,192.16 × 8,157.14
  4. Step 4: Simplify right side
    10,142.24x = 123,924,576.02
  5. Step 5: Solve for x
    x = 123,924,576.02/10,142.24
  6. Step 6: Final answer
    x = 12,218.66

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1.5x scale

Why These Related Problems?

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