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Finding the Fourth Proportional to 1,250.52, 1,868.86 and 922.13

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Solution

The fourth proportional to 1,250.52, 1,868.86 and 922.13 is: 1,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.52 : 1,868.86 = 922.13 : x
  2. Step 2: Convert to fraction form
    1,250.52/1,868.86 = 922.13/x
  3. Step 3: Cross multiply
    1,250.52x = 1,868.86 × 922.13
  4. Step 4: Simplify right side
    1,250.52x = 1,723,328.08
  5. Step 5: Solve for x
    x = 1,723,328.08/1,250.52
  6. Step 6: Final answer
    x = 1,378.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.