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Finding the Fourth Proportional to 2,254.92, 3,384 and 1,389.84

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Solution

The fourth proportional to 2,254.92, 3,384 and 1,389.84 is: 2,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.92 : 3,384 = 1,389.84 : x
  2. Step 2: Convert to fraction form
    2,254.92/3,384 = 1,389.84/x
  3. Step 3: Cross multiply
    2,254.92x = 3,384 × 1,389.84
  4. Step 4: Simplify right side
    2,254.92x = 4,703,218.56
  5. Step 5: Solve for x
    x = 4,703,218.56/2,254.92
  6. Step 6: Final answer
    x = 2,085.76

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Why These Related Problems?

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