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Finding the Fourth Proportional to 6,142, 8,476.16 and 3,347.68

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Solution

The fourth proportional to 6,142, 8,476.16 and 3,347.68 is: 4,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 8,476.16 = 3,347.68 : x
  2. Step 2: Convert to fraction form
    6,142/8,476.16 = 3,347.68/x
  3. Step 3: Cross multiply
    6,142x = 8,476.16 × 3,347.68
  4. Step 4: Simplify right side
    6,142x = 28,375,471.31
  5. Step 5: Solve for x
    x = 28,375,471.31/6,142
  6. Step 6: Final answer
    x = 4,619.91

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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.