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Finding the Fourth Proportional to 3,049.76, 4,575.32 and 969.88

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Solution

The fourth proportional to 3,049.76, 4,575.32 and 969.88 is: 1,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.76 : 4,575.32 = 969.88 : x
  2. Step 2: Convert to fraction form
    3,049.76/4,575.32 = 969.88/x
  3. Step 3: Cross multiply
    3,049.76x = 4,575.32 × 969.88
  4. Step 4: Simplify right side
    3,049.76x = 4,437,511.36
  5. Step 5: Solve for x
    x = 4,437,511.36/3,049.76
  6. Step 6: Final answer
    x = 1,455.04

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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.