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Finding the Fourth Proportional to 8,641.65, 12,966.34 and 4,196.87

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Solution

The fourth proportional to 8,641.65, 12,966.34 and 4,196.87 is: 6,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.65 : 12,966.34 = 4,196.87 : x
  2. Step 2: Convert to fraction form
    8,641.65/12,966.34 = 4,196.87/x
  3. Step 3: Cross multiply
    8,641.65x = 12,966.34 × 4,196.87
  4. Step 4: Simplify right side
    8,641.65x = 54,418,043.36
  5. Step 5: Solve for x
    x = 54,418,043.36/8,641.65
  6. Step 6: Final answer
    x = 6,297.18

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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.