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Finding the Fourth Proportional to 3,025.92, 4,534.80 and 1,562

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Solution

The fourth proportional to 3,025.92, 4,534.80 and 1,562 is: 2,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.92 : 4,534.80 = 1,562 : x
  2. Step 2: Convert to fraction form
    3,025.92/4,534.80 = 1,562/x
  3. Step 3: Cross multiply
    3,025.92x = 4,534.80 × 1,562
  4. Step 4: Simplify right side
    3,025.92x = 7,083,357.60
  5. Step 5: Solve for x
    x = 7,083,357.60/3,025.92
  6. Step 6: Final answer
    x = 2,340.89

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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.