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Finding the Fourth Proportional to 1,845.17, 2,764.08 and 868.31

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Solution

The fourth proportional to 1,845.17, 2,764.08 and 868.31 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.17 : 2,764.08 = 868.31 : x
  2. Step 2: Convert to fraction form
    1,845.17/2,764.08 = 868.31/x
  3. Step 3: Cross multiply
    1,845.17x = 2,764.08 × 868.31
  4. Step 4: Simplify right side
    1,845.17x = 2,400,064.48
  5. Step 5: Solve for x
    x = 2,400,064.48/1,845.17
  6. Step 6: Final answer
    x = 1,300.73

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1.5x scale

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.