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Finding the Fourth Proportional to 8,281.80, 11,419.92 and 5,623.92

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Solution

The fourth proportional to 8,281.80, 11,419.92 and 5,623.92 is: 7,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.80 : 11,419.92 = 5,623.92 : x
  2. Step 2: Convert to fraction form
    8,281.80/11,419.92 = 5,623.92/x
  3. Step 3: Cross multiply
    8,281.80x = 11,419.92 × 5,623.92
  4. Step 4: Simplify right side
    8,281.80x = 64,224,716.49
  5. Step 5: Solve for x
    x = 64,224,716.49/8,281.80
  6. Step 6: Final answer
    x = 7,754.92

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1.5x scale

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.