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Finding the Fourth Proportional to 9,199.92, 13,774.26 and 7,871.32

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Solution

The fourth proportional to 9,199.92, 13,774.26 and 7,871.32 is: 11,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.92 : 13,774.26 = 7,871.32 : x
  2. Step 2: Convert to fraction form
    9,199.92/13,774.26 = 7,871.32/x
  3. Step 3: Cross multiply
    9,199.92x = 13,774.26 × 7,871.32
  4. Step 4: Simplify right side
    9,199.92x = 108,421,608.22
  5. Step 5: Solve for x
    x = 108,421,608.22/9,199.92
  6. Step 6: Final answer
    x = 11,785.06

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1.5x scale

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.