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Finding the Fourth Proportional to 9,981.56, 13,774.52 and 5,732.89

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Solution

The fourth proportional to 9,981.56, 13,774.52 and 5,732.89 is: 7,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.56 : 13,774.52 = 5,732.89 : x
  2. Step 2: Convert to fraction form
    9,981.56/13,774.52 = 5,732.89/x
  3. Step 3: Cross multiply
    9,981.56x = 13,774.52 × 5,732.89
  4. Step 4: Simplify right side
    9,981.56x = 78,967,841.37
  5. Step 5: Solve for x
    x = 78,967,841.37/9,981.56
  6. Step 6: Final answer
    x = 7,911.38

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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.