Home / 1,574.52-2,171.94-977.28

Finding the Fourth Proportional to 1,574.52, 2,171.94 and 977.28

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Solution

The fourth proportional to 1,574.52, 2,171.94 and 977.28 is: 1,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.52 : 2,171.94 = 977.28 : x
  2. Step 2: Convert to fraction form
    1,574.52/2,171.94 = 977.28/x
  3. Step 3: Cross multiply
    1,574.52x = 2,171.94 × 977.28
  4. Step 4: Simplify right side
    1,574.52x = 2,122,593.52
  5. Step 5: Solve for x
    x = 2,122,593.52/1,574.52
  6. Step 6: Final answer
    x = 1,348.09

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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.