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Finding the Fourth Proportional to 5,658.42, 7,808.19 and 3,140.61

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Solution

The fourth proportional to 5,658.42, 7,808.19 and 3,140.61 is: 4,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.42 : 7,808.19 = 3,140.61 : x
  2. Step 2: Convert to fraction form
    5,658.42/7,808.19 = 3,140.61/x
  3. Step 3: Cross multiply
    5,658.42x = 7,808.19 × 3,140.61
  4. Step 4: Simplify right side
    5,658.42x = 24,522,479.60
  5. Step 5: Solve for x
    x = 24,522,479.60/5,658.42
  6. Step 6: Final answer
    x = 4,333.80

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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.