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Finding the Fourth Proportional to 1,856.70, 2,786.13 and 761.85

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Solution

The fourth proportional to 1,856.70, 2,786.13 and 761.85 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.70 : 2,786.13 = 761.85 : x
  2. Step 2: Convert to fraction form
    1,856.70/2,786.13 = 761.85/x
  3. Step 3: Cross multiply
    1,856.70x = 2,786.13 × 761.85
  4. Step 4: Simplify right side
    1,856.70x = 2,122,613.14
  5. Step 5: Solve for x
    x = 2,122,613.14/1,856.70
  6. Step 6: Final answer
    x = 1,143.22

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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.