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Finding the Fourth Proportional to 2,475.31, 3,712.97 and 995.21

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Solution

The fourth proportional to 2,475.31, 3,712.97 and 995.21 is: 1,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.31 : 3,712.97 = 995.21 : x
  2. Step 2: Convert to fraction form
    2,475.31/3,712.97 = 995.21/x
  3. Step 3: Cross multiply
    2,475.31x = 3,712.97 × 995.21
  4. Step 4: Simplify right side
    2,475.31x = 3,695,184.87
  5. Step 5: Solve for x
    x = 3,695,184.87/2,475.31
  6. Step 6: Final answer
    x = 1,492.82

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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.