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Finding the Fourth Proportional to 2,489.16, 3,733.50 and 845.66

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Solution

The fourth proportional to 2,489.16, 3,733.50 and 845.66 is: 1,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.16 : 3,733.50 = 845.66 : x
  2. Step 2: Convert to fraction form
    2,489.16/3,733.50 = 845.66/x
  3. Step 3: Cross multiply
    2,489.16x = 3,733.50 × 845.66
  4. Step 4: Simplify right side
    2,489.16x = 3,157,271.61
  5. Step 5: Solve for x
    x = 3,157,271.61/2,489.16
  6. Step 6: Final answer
    x = 1,268.41

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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.