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Finding the Fourth Proportional to 8,378.56, 12,559.20 and 3,764.80

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Solution

The fourth proportional to 8,378.56, 12,559.20 and 3,764.80 is: 5,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.56 : 12,559.20 = 3,764.80 : x
  2. Step 2: Convert to fraction form
    8,378.56/12,559.20 = 3,764.80/x
  3. Step 3: Cross multiply
    8,378.56x = 12,559.20 × 3,764.80
  4. Step 4: Simplify right side
    8,378.56x = 47,282,876.16
  5. Step 5: Solve for x
    x = 47,282,876.16/8,378.56
  6. Step 6: Final answer
    x = 5,643.32

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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.