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Finding the Fourth Proportional to 1,321.17, 1,824.08 and 922.71

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Solution

The fourth proportional to 1,321.17, 1,824.08 and 922.71 is: 1,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.17 : 1,824.08 = 922.71 : x
  2. Step 2: Convert to fraction form
    1,321.17/1,824.08 = 922.71/x
  3. Step 3: Cross multiply
    1,321.17x = 1,824.08 × 922.71
  4. Step 4: Simplify right side
    1,321.17x = 1,683,092.24
  5. Step 5: Solve for x
    x = 1,683,092.24/1,321.17
  6. Step 6: Final answer
    x = 1,273.94

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1.5x scale

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.