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Finding the Fourth Proportional to 8,671.82, 11,957.14 and 6,406.44

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Solution

The fourth proportional to 8,671.82, 11,957.14 and 6,406.44 is: 8,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.82 : 11,957.14 = 6,406.44 : x
  2. Step 2: Convert to fraction form
    8,671.82/11,957.14 = 6,406.44/x
  3. Step 3: Cross multiply
    8,671.82x = 11,957.14 × 6,406.44
  4. Step 4: Simplify right side
    8,671.82x = 76,602,737.52
  5. Step 5: Solve for x
    x = 76,602,737.52/8,671.82
  6. Step 6: Final answer
    x = 8,833.52

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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.