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Finding the Fourth Proportional to 8,587.16, 12,881.95 and 2,742.40

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Solution

The fourth proportional to 8,587.16, 12,881.95 and 2,742.40 is: 4,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.16 : 12,881.95 = 2,742.40 : x
  2. Step 2: Convert to fraction form
    8,587.16/12,881.95 = 2,742.40/x
  3. Step 3: Cross multiply
    8,587.16x = 12,881.95 × 2,742.40
  4. Step 4: Simplify right side
    8,587.16x = 35,327,420.62
  5. Step 5: Solve for x
    x = 35,327,420.62/8,587.16
  6. Step 6: Final answer
    x = 4,113.98

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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.