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Finding the Fourth Proportional to 8,289.53, 12,435 and 2,742.72

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Solution

The fourth proportional to 8,289.53, 12,435 and 2,742.72 is: 4,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.53 : 12,435 = 2,742.72 : x
  2. Step 2: Convert to fraction form
    8,289.53/12,435 = 2,742.72/x
  3. Step 3: Cross multiply
    8,289.53x = 12,435 × 2,742.72
  4. Step 4: Simplify right side
    8,289.53x = 34,105,723.20
  5. Step 5: Solve for x
    x = 34,105,723.20/8,289.53
  6. Step 6: Final answer
    x = 4,114.31

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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.