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Finding the Fourth Proportional to 8,587.86, 12,886.66 and 3,657

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Solution

The fourth proportional to 8,587.86, 12,886.66 and 3,657 is: 5,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.86 : 12,886.66 = 3,657 : x
  2. Step 2: Convert to fraction form
    8,587.86/12,886.66 = 3,657/x
  3. Step 3: Cross multiply
    8,587.86x = 12,886.66 × 3,657
  4. Step 4: Simplify right side
    8,587.86x = 47,126,515.62
  5. Step 5: Solve for x
    x = 47,126,515.62/8,587.86
  6. Step 6: Final answer
    x = 5,487.57

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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.