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Finding the Fourth Proportional to 9,861.75, 13,609.62 and 5,670

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Solution

The fourth proportional to 9,861.75, 13,609.62 and 5,670 is: 7,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.75 : 13,609.62 = 5,670 : x
  2. Step 2: Convert to fraction form
    9,861.75/13,609.62 = 5,670/x
  3. Step 3: Cross multiply
    9,861.75x = 13,609.62 × 5,670
  4. Step 4: Simplify right side
    9,861.75x = 77,166,545.40
  5. Step 5: Solve for x
    x = 77,166,545.40/9,861.75
  6. Step 6: Final answer
    x = 7,824.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.