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Finding the Fourth Proportional to 8,287.95, 12,493.98 and 7,737.96

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Solution

The fourth proportional to 8,287.95, 12,493.98 and 7,737.96 is: 11,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.95 : 12,493.98 = 7,737.96 : x
  2. Step 2: Convert to fraction form
    8,287.95/12,493.98 = 7,737.96/x
  3. Step 3: Cross multiply
    8,287.95x = 12,493.98 × 7,737.96
  4. Step 4: Simplify right side
    8,287.95x = 96,677,917.48
  5. Step 5: Solve for x
    x = 96,677,917.48/8,287.95
  6. Step 6: Final answer
    x = 11,664.88

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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.