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Finding the Fourth Proportional to 8,587.68, 12,869.79 and 5,257.07

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Solution

The fourth proportional to 8,587.68, 12,869.79 and 5,257.07 is: 7,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.68 : 12,869.79 = 5,257.07 : x
  2. Step 2: Convert to fraction form
    8,587.68/12,869.79 = 5,257.07/x
  3. Step 3: Cross multiply
    8,587.68x = 12,869.79 × 5,257.07
  4. Step 4: Simplify right side
    8,587.68x = 67,657,322.57
  5. Step 5: Solve for x
    x = 67,657,322.57/8,587.68
  6. Step 6: Final answer
    x = 7,878.42

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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.