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Finding the Fourth Proportional to 1,328.40, 1,984.50 and 1,321.92

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Solution

The fourth proportional to 1,328.40, 1,984.50 and 1,321.92 is: 1,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.40 : 1,984.50 = 1,321.92 : x
  2. Step 2: Convert to fraction form
    1,328.40/1,984.50 = 1,321.92/x
  3. Step 3: Cross multiply
    1,328.40x = 1,984.50 × 1,321.92
  4. Step 4: Simplify right side
    1,328.40x = 2,623,350.24
  5. Step 5: Solve for x
    x = 2,623,350.24/1,328.40
  6. Step 6: Final answer
    x = 1,974.82

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