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Finding the Fourth Proportional to 5,462.40, 8,190.24 and 1,763.76

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Solution

The fourth proportional to 5,462.40, 8,190.24 and 1,763.76 is: 2,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.40 : 8,190.24 = 1,763.76 : x
  2. Step 2: Convert to fraction form
    5,462.40/8,190.24 = 1,763.76/x
  3. Step 3: Cross multiply
    5,462.40x = 8,190.24 × 1,763.76
  4. Step 4: Simplify right side
    5,462.40x = 14,445,617.70
  5. Step 5: Solve for x
    x = 14,445,617.70/5,462.40
  6. Step 6: Final answer
    x = 2,644.56

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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.