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Finding the Fourth Proportional to 1,976, 2,960 and 1,650.32

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Solution

The fourth proportional to 1,976, 2,960 and 1,650.32 is: 2,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976 : 2,960 = 1,650.32 : x
  2. Step 2: Convert to fraction form
    1,976/2,960 = 1,650.32/x
  3. Step 3: Cross multiply
    1,976x = 2,960 × 1,650.32
  4. Step 4: Simplify right side
    1,976x = 4,884,947.20
  5. Step 5: Solve for x
    x = 4,884,947.20/1,976
  6. Step 6: Final answer
    x = 2,472.14

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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.