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Finding the Fourth Proportional to 9,105.12, 13,658 and 3,559.76

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Solution

The fourth proportional to 9,105.12, 13,658 and 3,559.76 is: 5,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.12 : 13,658 = 3,559.76 : x
  2. Step 2: Convert to fraction form
    9,105.12/13,658 = 3,559.76/x
  3. Step 3: Cross multiply
    9,105.12x = 13,658 × 3,559.76
  4. Step 4: Simplify right side
    9,105.12x = 48,619,202.08
  5. Step 5: Solve for x
    x = 48,619,202.08/9,105.12
  6. Step 6: Final answer
    x = 5,339.77

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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.