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Finding the Fourth Proportional to 1,969.81, 2,718.80 and 1,224.33

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Solution

The fourth proportional to 1,969.81, 2,718.80 and 1,224.33 is: 1,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.81 : 2,718.80 = 1,224.33 : x
  2. Step 2: Convert to fraction form
    1,969.81/2,718.80 = 1,224.33/x
  3. Step 3: Cross multiply
    1,969.81x = 2,718.80 × 1,224.33
  4. Step 4: Simplify right side
    1,969.81x = 3,328,711.46
  5. Step 5: Solve for x
    x = 3,328,711.46/1,969.81
  6. Step 6: Final answer
    x = 1,689.87

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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.