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Finding the Fourth Proportional to 9,110.40, 13,660.80 and 3,267.20

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Solution

The fourth proportional to 9,110.40, 13,660.80 and 3,267.20 is: 4,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.40 : 13,660.80 = 3,267.20 : x
  2. Step 2: Convert to fraction form
    9,110.40/13,660.80 = 3,267.20/x
  3. Step 3: Cross multiply
    9,110.40x = 13,660.80 × 3,267.20
  4. Step 4: Simplify right side
    9,110.40x = 44,632,565.76
  5. Step 5: Solve for x
    x = 44,632,565.76/9,110.40
  6. Step 6: Final answer
    x = 4,899.08

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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.