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Finding the Fourth Proportional to 6,658.05, 9,192.42 and 4,142.91

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Solution

The fourth proportional to 6,658.05, 9,192.42 and 4,142.91 is: 5,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.05 : 9,192.42 = 4,142.91 : x
  2. Step 2: Convert to fraction form
    6,658.05/9,192.42 = 4,142.91/x
  3. Step 3: Cross multiply
    6,658.05x = 9,192.42 × 4,142.91
  4. Step 4: Simplify right side
    6,658.05x = 38,083,368.74
  5. Step 5: Solve for x
    x = 38,083,368.74/6,658.05
  6. Step 6: Final answer
    x = 5,719.90

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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.