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Finding the Fourth Proportional to 5,765.60, 8,644.08 and 2,305.28

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Solution

The fourth proportional to 5,765.60, 8,644.08 and 2,305.28 is: 3,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.60 : 8,644.08 = 2,305.28 : x
  2. Step 2: Convert to fraction form
    5,765.60/8,644.08 = 2,305.28/x
  3. Step 3: Cross multiply
    5,765.60x = 8,644.08 × 2,305.28
  4. Step 4: Simplify right side
    5,765.60x = 19,927,024.74
  5. Step 5: Solve for x
    x = 19,927,024.74/5,765.60
  6. Step 6: Final answer
    x = 3,456.19

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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.