Home / 1,574.29-2,361.53-923.66

Finding the Fourth Proportional to 1,574.29, 2,361.53 and 923.66

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Solution

The fourth proportional to 1,574.29, 2,361.53 and 923.66 is: 1,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.29 : 2,361.53 = 923.66 : x
  2. Step 2: Convert to fraction form
    1,574.29/2,361.53 = 923.66/x
  3. Step 3: Cross multiply
    1,574.29x = 2,361.53 × 923.66
  4. Step 4: Simplify right side
    1,574.29x = 2,181,250.80
  5. Step 5: Solve for x
    x = 2,181,250.80/1,574.29
  6. Step 6: Final answer
    x = 1,385.55

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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.