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Finding the Fourth Proportional to 9,865.75, 13,614.75 and 5,674

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Solution

The fourth proportional to 9,865.75, 13,614.75 and 5,674 is: 7,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.75 : 13,614.75 = 5,674 : x
  2. Step 2: Convert to fraction form
    9,865.75/13,614.75 = 5,674/x
  3. Step 3: Cross multiply
    9,865.75x = 13,614.75 × 5,674
  4. Step 4: Simplify right side
    9,865.75x = 77,250,091.50
  5. Step 5: Solve for x
    x = 77,250,091.50/9,865.75
  6. Step 6: Final answer
    x = 7,830.13

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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.