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Finding the Fourth Proportional to 4,961.81, 7,442.78 and 1,630.01

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Solution

The fourth proportional to 4,961.81, 7,442.78 and 1,630.01 is: 2,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.81 : 7,442.78 = 1,630.01 : x
  2. Step 2: Convert to fraction form
    4,961.81/7,442.78 = 1,630.01/x
  3. Step 3: Cross multiply
    4,961.81x = 7,442.78 × 1,630.01
  4. Step 4: Simplify right side
    4,961.81x = 12,131,816.28
  5. Step 5: Solve for x
    x = 12,131,816.28/4,961.81
  6. Step 6: Final answer
    x = 2,445.04

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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.