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Finding the Fourth Proportional to 9,071.50, 13,600.62 and 3,520.12

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Solution

The fourth proportional to 9,071.50, 13,600.62 and 3,520.12 is: 5,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.50 : 13,600.62 = 3,520.12 : x
  2. Step 2: Convert to fraction form
    9,071.50/13,600.62 = 3,520.12/x
  3. Step 3: Cross multiply
    9,071.50x = 13,600.62 × 3,520.12
  4. Step 4: Simplify right side
    9,071.50x = 47,875,814.47
  5. Step 5: Solve for x
    x = 47,875,814.47/9,071.50
  6. Step 6: Final answer
    x = 5,277.61

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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.