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Finding the Fourth Proportional to 1,856.17, 2,781.73 and 701.29

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Solution

The fourth proportional to 1,856.17, 2,781.73 and 701.29 is: 1,050.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.17 : 2,781.73 = 701.29 : x
  2. Step 2: Convert to fraction form
    1,856.17/2,781.73 = 701.29/x
  3. Step 3: Cross multiply
    1,856.17x = 2,781.73 × 701.29
  4. Step 4: Simplify right side
    1,856.17x = 1,950,799.43
  5. Step 5: Solve for x
    x = 1,950,799.43/1,856.17
  6. Step 6: Final answer
    x = 1,050.98

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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.