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Finding the Fourth Proportional to 8,587.53, 12,881.25 and 2,742.75

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Solution

The fourth proportional to 8,587.53, 12,881.25 and 2,742.75 is: 4,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.53 : 12,881.25 = 2,742.75 : x
  2. Step 2: Convert to fraction form
    8,587.53/12,881.25 = 2,742.75/x
  3. Step 3: Cross multiply
    8,587.53x = 12,881.25 × 2,742.75
  4. Step 4: Simplify right side
    8,587.53x = 35,330,048.44
  5. Step 5: Solve for x
    x = 35,330,048.44/8,587.53
  6. Step 6: Final answer
    x = 4,114.11

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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.