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Finding the Fourth Proportional to 9,976.78, 14,965.07 and 3,820.78

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Solution

The fourth proportional to 9,976.78, 14,965.07 and 3,820.78 is: 5,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.78 : 14,965.07 = 3,820.78 : x
  2. Step 2: Convert to fraction form
    9,976.78/14,965.07 = 3,820.78/x
  3. Step 3: Cross multiply
    9,976.78x = 14,965.07 × 3,820.78
  4. Step 4: Simplify right side
    9,976.78x = 57,178,212.29
  5. Step 5: Solve for x
    x = 57,178,212.29/9,976.78
  6. Step 6: Final answer
    x = 5,731.13

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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.