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Finding the Fourth Proportional to 5,765.46, 8,649.57 and 1,869.87

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Solution

The fourth proportional to 5,765.46, 8,649.57 and 1,869.87 is: 2,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.46 : 8,649.57 = 1,869.87 : x
  2. Step 2: Convert to fraction form
    5,765.46/8,649.57 = 1,869.87/x
  3. Step 3: Cross multiply
    5,765.46x = 8,649.57 × 1,869.87
  4. Step 4: Simplify right side
    5,765.46x = 16,173,571.46
  5. Step 5: Solve for x
    x = 16,173,571.46/5,765.46
  6. Step 6: Final answer
    x = 2,805.25

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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.