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Finding the Fourth Proportional to 5,765.57, 8,649.26 and 1,869.06

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Solution

The fourth proportional to 5,765.57, 8,649.26 and 1,869.06 is: 2,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.57 : 8,649.26 = 1,869.06 : x
  2. Step 2: Convert to fraction form
    5,765.57/8,649.26 = 1,869.06/x
  3. Step 3: Cross multiply
    5,765.57x = 8,649.26 × 1,869.06
  4. Step 4: Simplify right side
    5,765.57x = 16,165,985.90
  5. Step 5: Solve for x
    x = 16,165,985.90/5,765.57
  6. Step 6: Final answer
    x = 2,803.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.