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Finding the Fourth Proportional to 9,961.53, 13,746.14 and 5,712.54

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Solution

The fourth proportional to 9,961.53, 13,746.14 and 5,712.54 is: 7,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.53 : 13,746.14 = 5,712.54 : x
  2. Step 2: Convert to fraction form
    9,961.53/13,746.14 = 5,712.54/x
  3. Step 3: Cross multiply
    9,961.53x = 13,746.14 × 5,712.54
  4. Step 4: Simplify right side
    9,961.53x = 78,525,346.03
  5. Step 5: Solve for x
    x = 78,525,346.03/9,961.53
  6. Step 6: Final answer
    x = 7,882.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.