Home / 1,974.64-2,724.36-1,135.12

Finding the Fourth Proportional to 1,974.64, 2,724.36 and 1,135.12

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Solution

The fourth proportional to 1,974.64, 2,724.36 and 1,135.12 is: 1,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.64 : 2,724.36 = 1,135.12 : x
  2. Step 2: Convert to fraction form
    1,974.64/2,724.36 = 1,135.12/x
  3. Step 3: Cross multiply
    1,974.64x = 2,724.36 × 1,135.12
  4. Step 4: Simplify right side
    1,974.64x = 3,092,475.52
  5. Step 5: Solve for x
    x = 3,092,475.52/1,974.64
  6. Step 6: Final answer
    x = 1,566.10

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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.