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Finding the Fourth Proportional to 2,930.92, 4,395.70 and 1,372.00

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Solution

The fourth proportional to 2,930.92, 4,395.70 and 1,372.00 is: 2,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.92 : 4,395.70 = 1,372.00 : x
  2. Step 2: Convert to fraction form
    2,930.92/4,395.70 = 1,372.00/x
  3. Step 3: Cross multiply
    2,930.92x = 4,395.70 × 1,372.00
  4. Step 4: Simplify right side
    2,930.92x = 6,030,902.66
  5. Step 5: Solve for x
    x = 6,030,902.66/2,930.92
  6. Step 6: Final answer
    x = 2,057.68

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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.