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Finding the Fourth Proportional to 5,765.10, 8,649.02 and 2,478.23

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Solution

The fourth proportional to 5,765.10, 8,649.02 and 2,478.23 is: 3,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.10 : 8,649.02 = 2,478.23 : x
  2. Step 2: Convert to fraction form
    5,765.10/8,649.02 = 2,478.23/x
  3. Step 3: Cross multiply
    5,765.10x = 8,649.02 × 2,478.23
  4. Step 4: Simplify right side
    5,765.10x = 21,434,205.20
  5. Step 5: Solve for x
    x = 21,434,205.20/5,765.10
  6. Step 6: Final answer
    x = 3,717.92

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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.