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Finding the Fourth Proportional to 5,101.61, 7,645.13 and 2,905.80

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Solution

The fourth proportional to 5,101.61, 7,645.13 and 2,905.80 is: 4,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.61 : 7,645.13 = 2,905.80 : x
  2. Step 2: Convert to fraction form
    5,101.61/7,645.13 = 2,905.80/x
  3. Step 3: Cross multiply
    5,101.61x = 7,645.13 × 2,905.80
  4. Step 4: Simplify right side
    5,101.61x = 22,215,204.23
  5. Step 5: Solve for x
    x = 22,215,204.23/5,101.61
  6. Step 6: Final answer
    x = 4,354.55

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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.