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Finding the Fourth Proportional to 8,741.22, 13,057.79 and 7,862.32

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Solution

The fourth proportional to 8,741.22, 13,057.79 and 7,862.32 is: 11,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.22 : 13,057.79 = 7,862.32 : x
  2. Step 2: Convert to fraction form
    8,741.22/13,057.79 = 7,862.32/x
  3. Step 3: Cross multiply
    8,741.22x = 13,057.79 × 7,862.32
  4. Step 4: Simplify right side
    8,741.22x = 102,664,523.47
  5. Step 5: Solve for x
    x = 102,664,523.47/8,741.22
  6. Step 6: Final answer
    x = 11,744.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.