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Finding the Fourth Proportional to 11,458.76, 15,811.62 and 6,741.32

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Solution

The fourth proportional to 11,458.76, 15,811.62 and 6,741.32 is: 9,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.76 : 15,811.62 = 6,741.32 : x
  2. Step 2: Convert to fraction form
    11,458.76/15,811.62 = 6,741.32/x
  3. Step 3: Cross multiply
    11,458.76x = 15,811.62 × 6,741.32
  4. Step 4: Simplify right side
    11,458.76x = 106,591,190.14
  5. Step 5: Solve for x
    x = 106,591,190.14/11,458.76
  6. Step 6: Final answer
    x = 9,302.16

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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.