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Finding the Fourth Proportional to 1,835.45, 2,753.15 and 860.87

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Solution

The fourth proportional to 1,835.45, 2,753.15 and 860.87 is: 1,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.45 : 2,753.15 = 860.87 : x
  2. Step 2: Convert to fraction form
    1,835.45/2,753.15 = 860.87/x
  3. Step 3: Cross multiply
    1,835.45x = 2,753.15 × 860.87
  4. Step 4: Simplify right side
    1,835.45x = 2,370,092.63
  5. Step 5: Solve for x
    x = 2,370,092.63/1,835.45
  6. Step 6: Final answer
    x = 1,291.29

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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.