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Finding the Fourth Proportional to 1,859, 2,565.42 and 1,031

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Solution

The fourth proportional to 1,859, 2,565.42 and 1,031 is: 1,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859 : 2,565.42 = 1,031 : x
  2. Step 2: Convert to fraction form
    1,859/2,565.42 = 1,031/x
  3. Step 3: Cross multiply
    1,859x = 2,565.42 × 1,031
  4. Step 4: Simplify right side
    1,859x = 2,644,948.02
  5. Step 5: Solve for x
    x = 2,644,948.02/1,859
  6. Step 6: Final answer
    x = 1,422.78

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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.