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Finding the Fourth Proportional to 3,151.68, 4,720.48 and 2,284

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Solution

The fourth proportional to 3,151.68, 4,720.48 and 2,284 is: 3,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.68 : 4,720.48 = 2,284 : x
  2. Step 2: Convert to fraction form
    3,151.68/4,720.48 = 2,284/x
  3. Step 3: Cross multiply
    3,151.68x = 4,720.48 × 2,284
  4. Step 4: Simplify right side
    3,151.68x = 10,781,576.32
  5. Step 5: Solve for x
    x = 10,781,576.32/3,151.68
  6. Step 6: Final answer
    x = 3,420.90

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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.