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Finding the Fourth Proportional to 9,865.38, 14,770.62 and 7,678.38

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Solution

The fourth proportional to 9,865.38, 14,770.62 and 7,678.38 is: 11,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.38 : 14,770.62 = 7,678.38 : x
  2. Step 2: Convert to fraction form
    9,865.38/14,770.62 = 7,678.38/x
  3. Step 3: Cross multiply
    9,865.38x = 14,770.62 × 7,678.38
  4. Step 4: Simplify right side
    9,865.38x = 113,414,433.20
  5. Step 5: Solve for x
    x = 113,414,433.20/9,865.38
  6. Step 6: Final answer
    x = 11,496.21

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1.5x scale

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.