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Finding the Fourth Proportional to 8,905.82, 13,292.95 and 7,855.22

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Solution

The fourth proportional to 8,905.82, 13,292.95 and 7,855.22 is: 11,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.82 : 13,292.95 = 7,855.22 : x
  2. Step 2: Convert to fraction form
    8,905.82/13,292.95 = 7,855.22/x
  3. Step 3: Cross multiply
    8,905.82x = 13,292.95 × 7,855.22
  4. Step 4: Simplify right side
    8,905.82x = 104,419,089.75
  5. Step 5: Solve for x
    x = 104,419,089.75/8,905.82
  6. Step 6: Final answer
    x = 11,724.82

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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.