Home / 1,574.71-2,358.82-923.88

Finding the Fourth Proportional to 1,574.71, 2,358.82 and 923.88

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Solution

The fourth proportional to 1,574.71, 2,358.82 and 923.88 is: 1,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.71 : 2,358.82 = 923.88 : x
  2. Step 2: Convert to fraction form
    1,574.71/2,358.82 = 923.88/x
  3. Step 3: Cross multiply
    1,574.71x = 2,358.82 × 923.88
  4. Step 4: Simplify right side
    1,574.71x = 2,179,266.62
  5. Step 5: Solve for x
    x = 2,179,266.62/1,574.71
  6. Step 6: Final answer
    x = 1,383.92

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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.