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Finding the Fourth Proportional to 1,864.13, 2,573.03 and 1,243.13

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Solution

The fourth proportional to 1,864.13, 2,573.03 and 1,243.13 is: 1,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.13 : 2,573.03 = 1,243.13 : x
  2. Step 2: Convert to fraction form
    1,864.13/2,573.03 = 1,243.13/x
  3. Step 3: Cross multiply
    1,864.13x = 2,573.03 × 1,243.13
  4. Step 4: Simplify right side
    1,864.13x = 3,198,601.03
  5. Step 5: Solve for x
    x = 3,198,601.03/1,864.13
  6. Step 6: Final answer
    x = 1,715.87

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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.