Home / 1,127.24-1,691.34-964.52

Finding the Fourth Proportional to 1,127.24, 1,691.34 and 964.52

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Solution

The fourth proportional to 1,127.24, 1,691.34 and 964.52 is: 1,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.24 : 1,691.34 = 964.52 : x
  2. Step 2: Convert to fraction form
    1,127.24/1,691.34 = 964.52/x
  3. Step 3: Cross multiply
    1,127.24x = 1,691.34 × 964.52
  4. Step 4: Simplify right side
    1,127.24x = 1,631,331.26
  5. Step 5: Solve for x
    x = 1,631,331.26/1,127.24
  6. Step 6: Final answer
    x = 1,447.19

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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.