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Finding the Fourth Proportional to 5,084.52, 7,627.05 and 1,621.50

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Solution

The fourth proportional to 5,084.52, 7,627.05 and 1,621.50 is: 2,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.52 : 7,627.05 = 1,621.50 : x
  2. Step 2: Convert to fraction form
    5,084.52/7,627.05 = 1,621.50/x
  3. Step 3: Cross multiply
    5,084.52x = 7,627.05 × 1,621.50
  4. Step 4: Simplify right side
    5,084.52x = 12,367,261.58
  5. Step 5: Solve for x
    x = 12,367,261.58/5,084.52
  6. Step 6: Final answer
    x = 2,432.34

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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.