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Finding the Fourth Proportional to 8,348.60, 12,521.64 and 2,801

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Solution

The fourth proportional to 8,348.60, 12,521.64 and 2,801 is: 4,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.60 : 12,521.64 = 2,801 : x
  2. Step 2: Convert to fraction form
    8,348.60/12,521.64 = 2,801/x
  3. Step 3: Cross multiply
    8,348.60x = 12,521.64 × 2,801
  4. Step 4: Simplify right side
    8,348.60x = 35,073,113.64
  5. Step 5: Solve for x
    x = 35,073,113.64/8,348.60
  6. Step 6: Final answer
    x = 4,201.08

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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.