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Finding the Fourth Proportional to 7,142.72, 9,833.13 and 6,143.99

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Solution

The fourth proportional to 7,142.72, 9,833.13 and 6,143.99 is: 8,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.72 : 9,833.13 = 6,143.99 : x
  2. Step 2: Convert to fraction form
    7,142.72/9,833.13 = 6,143.99/x
  3. Step 3: Cross multiply
    7,142.72x = 9,833.13 × 6,143.99
  4. Step 4: Simplify right side
    7,142.72x = 60,414,652.39
  5. Step 5: Solve for x
    x = 60,414,652.39/7,142.72
  6. Step 6: Final answer
    x = 8,458.21

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1.5x scale

Why These Related Problems?

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