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Finding the Fourth Proportional to 5,761.40, 8,643.47 and 1,865.80

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Solution

The fourth proportional to 5,761.40, 8,643.47 and 1,865.80 is: 2,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.40 : 8,643.47 = 1,865.80 : x
  2. Step 2: Convert to fraction form
    5,761.40/8,643.47 = 1,865.80/x
  3. Step 3: Cross multiply
    5,761.40x = 8,643.47 × 1,865.80
  4. Step 4: Simplify right side
    5,761.40x = 16,126,986.33
  5. Step 5: Solve for x
    x = 16,126,986.33/5,761.40
  6. Step 6: Final answer
    x = 2,799.14

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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.