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Finding the Fourth Proportional to 8,851.59, 13,275 and 2,609.76

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Solution

The fourth proportional to 8,851.59, 13,275 and 2,609.76 is: 3,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.59 : 13,275 = 2,609.76 : x
  2. Step 2: Convert to fraction form
    8,851.59/13,275 = 2,609.76/x
  3. Step 3: Cross multiply
    8,851.59x = 13,275 × 2,609.76
  4. Step 4: Simplify right side
    8,851.59x = 34,644,564
  5. Step 5: Solve for x
    x = 34,644,564/8,851.59
  6. Step 6: Final answer
    x = 3,913.94

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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.