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Finding the Fourth Proportional to 8,854.35, 13,282.90 and 3,009.60

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Solution

The fourth proportional to 8,854.35, 13,282.90 and 3,009.60 is: 4,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.35 : 13,282.90 = 3,009.60 : x
  2. Step 2: Convert to fraction form
    8,854.35/13,282.90 = 3,009.60/x
  3. Step 3: Cross multiply
    8,854.35x = 13,282.90 × 3,009.60
  4. Step 4: Simplify right side
    8,854.35x = 39,976,215.84
  5. Step 5: Solve for x
    x = 39,976,215.84/8,854.35
  6. Step 6: Final answer
    x = 4,514.87

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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.