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Finding the Fourth Proportional to 8,965.12, 13,443.60 and 3,768.16

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Solution

The fourth proportional to 8,965.12, 13,443.60 and 3,768.16 is: 5,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.12 : 13,443.60 = 3,768.16 : x
  2. Step 2: Convert to fraction form
    8,965.12/13,443.60 = 3,768.16/x
  3. Step 3: Cross multiply
    8,965.12x = 13,443.60 × 3,768.16
  4. Step 4: Simplify right side
    8,965.12x = 50,657,635.78
  5. Step 5: Solve for x
    x = 50,657,635.78/8,965.12
  6. Step 6: Final answer
    x = 5,650.53

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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.