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Finding the Fourth Proportional to 7,901.72, 11,848.78 and 3,738.28

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Solution

The fourth proportional to 7,901.72, 11,848.78 and 3,738.28 is: 5,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.72 : 11,848.78 = 3,738.28 : x
  2. Step 2: Convert to fraction form
    7,901.72/11,848.78 = 3,738.28/x
  3. Step 3: Cross multiply
    7,901.72x = 11,848.78 × 3,738.28
  4. Step 4: Simplify right side
    7,901.72x = 44,294,057.30
  5. Step 5: Solve for x
    x = 44,294,057.30/7,901.72
  6. Step 6: Final answer
    x = 5,605.62

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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.