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Finding the Fourth Proportional to 6,142.36, 8,476.46 and 3,347.86

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Solution

The fourth proportional to 6,142.36, 8,476.46 and 3,347.86 is: 4,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.36 : 8,476.46 = 3,347.86 : x
  2. Step 2: Convert to fraction form
    6,142.36/8,476.46 = 3,347.86/x
  3. Step 3: Cross multiply
    6,142.36x = 8,476.46 × 3,347.86
  4. Step 4: Simplify right side
    6,142.36x = 28,378,001.38
  5. Step 5: Solve for x
    x = 28,378,001.38/6,142.36
  6. Step 6: Final answer
    x = 4,620.05

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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.