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Finding the Fourth Proportional to 6,820.31, 9,416.39 and 6,147.81

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Solution

The fourth proportional to 6,820.31, 9,416.39 and 6,147.81 is: 8,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.31 : 9,416.39 = 6,147.81 : x
  2. Step 2: Convert to fraction form
    6,820.31/9,416.39 = 6,147.81/x
  3. Step 3: Cross multiply
    6,820.31x = 9,416.39 × 6,147.81
  4. Step 4: Simplify right side
    6,820.31x = 57,890,129.52
  5. Step 5: Solve for x
    x = 57,890,129.52/6,820.31
  6. Step 6: Final answer
    x = 8,487.91

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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.