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Finding the Fourth Proportional to 1,321.04, 1,823.92 and 823.76

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Solution

The fourth proportional to 1,321.04, 1,823.92 and 823.76 is: 1,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.04 : 1,823.92 = 823.76 : x
  2. Step 2: Convert to fraction form
    1,321.04/1,823.92 = 823.76/x
  3. Step 3: Cross multiply
    1,321.04x = 1,823.92 × 823.76
  4. Step 4: Simplify right side
    1,321.04x = 1,502,472.34
  5. Step 5: Solve for x
    x = 1,502,472.34/1,321.04
  6. Step 6: Final answer
    x = 1,137.34

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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.