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Finding the Fourth Proportional to 8,712.30, 12,034.53 and 6,847.41

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Solution

The fourth proportional to 8,712.30, 12,034.53 and 6,847.41 is: 9,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.30 : 12,034.53 = 6,847.41 : x
  2. Step 2: Convert to fraction form
    8,712.30/12,034.53 = 6,847.41/x
  3. Step 3: Cross multiply
    8,712.30x = 12,034.53 × 6,847.41
  4. Step 4: Simplify right side
    8,712.30x = 82,405,361.07
  5. Step 5: Solve for x
    x = 82,405,361.07/8,712.30
  6. Step 6: Final answer
    x = 9,458.51

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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.