Home / 1,972.64-2,959.16-1,105.13

Finding the Fourth Proportional to 1,972.64, 2,959.16 and 1,105.13

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Solution

The fourth proportional to 1,972.64, 2,959.16 and 1,105.13 is: 1,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.64 : 2,959.16 = 1,105.13 : x
  2. Step 2: Convert to fraction form
    1,972.64/2,959.16 = 1,105.13/x
  3. Step 3: Cross multiply
    1,972.64x = 2,959.16 × 1,105.13
  4. Step 4: Simplify right side
    1,972.64x = 3,270,236.17
  5. Step 5: Solve for x
    x = 3,270,236.17/1,972.64
  6. Step 6: Final answer
    x = 1,657.80

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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.