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Finding the Fourth Proportional to 8,284.95, 12,489.46 and 7,734.96

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Solution

The fourth proportional to 8,284.95, 12,489.46 and 7,734.96 is: 11,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.95 : 12,489.46 = 7,734.96 : x
  2. Step 2: Convert to fraction form
    8,284.95/12,489.46 = 7,734.96/x
  3. Step 3: Cross multiply
    8,284.95x = 12,489.46 × 7,734.96
  4. Step 4: Simplify right side
    8,284.95x = 96,605,454.18
  5. Step 5: Solve for x
    x = 96,605,454.18/8,284.95
  6. Step 6: Final answer
    x = 11,660.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.