Home / 1,972.64-2,722.76-1,165.80

Finding the Fourth Proportional to 1,972.64, 2,722.76 and 1,165.80

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Solution

The fourth proportional to 1,972.64, 2,722.76 and 1,165.80 is: 1,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.64 : 2,722.76 = 1,165.80 : x
  2. Step 2: Convert to fraction form
    1,972.64/2,722.76 = 1,165.80/x
  3. Step 3: Cross multiply
    1,972.64x = 2,722.76 × 1,165.80
  4. Step 4: Simplify right side
    1,972.64x = 3,174,193.61
  5. Step 5: Solve for x
    x = 3,174,193.61/1,972.64
  6. Step 6: Final answer
    x = 1,609.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.