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Finding the Fourth Proportional to 4,253.80, 6,380.34 and 1,480

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Solution

The fourth proportional to 4,253.80, 6,380.34 and 1,480 is: 2,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.80 : 6,380.34 = 1,480 : x
  2. Step 2: Convert to fraction form
    4,253.80/6,380.34 = 1,480/x
  3. Step 3: Cross multiply
    4,253.80x = 6,380.34 × 1,480
  4. Step 4: Simplify right side
    4,253.80x = 9,442,903.20
  5. Step 5: Solve for x
    x = 9,442,903.20/4,253.80
  6. Step 6: Final answer
    x = 2,219.87

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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.