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Finding the Fourth Proportional to 2,123.92, 3,182.29 and 1,300.48

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Solution

The fourth proportional to 2,123.92, 3,182.29 and 1,300.48 is: 1,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.92 : 3,182.29 = 1,300.48 : x
  2. Step 2: Convert to fraction form
    2,123.92/3,182.29 = 1,300.48/x
  3. Step 3: Cross multiply
    2,123.92x = 3,182.29 × 1,300.48
  4. Step 4: Simplify right side
    2,123.92x = 4,138,496.95
  5. Step 5: Solve for x
    x = 4,138,496.95/2,123.92
  6. Step 6: Final answer
    x = 1,948.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.