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Finding the Fourth Proportional to 8,314.22, 12,442.14 and 6,453.47

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Solution

The fourth proportional to 8,314.22, 12,442.14 and 6,453.47 is: 9,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.22 : 12,442.14 = 6,453.47 : x
  2. Step 2: Convert to fraction form
    8,314.22/12,442.14 = 6,453.47/x
  3. Step 3: Cross multiply
    8,314.22x = 12,442.14 × 6,453.47
  4. Step 4: Simplify right side
    8,314.22x = 80,294,915.02
  5. Step 5: Solve for x
    x = 80,294,915.02/8,314.22
  6. Step 6: Final answer
    x = 9,657.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.