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Finding the Fourth Proportional to 4,872.40, 7,310.40 and 1,585.60

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Solution

The fourth proportional to 4,872.40, 7,310.40 and 1,585.60 is: 2,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.40 : 7,310.40 = 1,585.60 : x
  2. Step 2: Convert to fraction form
    4,872.40/7,310.40 = 1,585.60/x
  3. Step 3: Cross multiply
    4,872.40x = 7,310.40 × 1,585.60
  4. Step 4: Simplify right side
    4,872.40x = 11,591,370.24
  5. Step 5: Solve for x
    x = 11,591,370.24/4,872.40
  6. Step 6: Final answer
    x = 2,378.99

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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.