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Finding the Fourth Proportional to 8,864.82, 13,232.34 and 7,813.89

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Solution

The fourth proportional to 8,864.82, 13,232.34 and 7,813.89 is: 11,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.82 : 13,232.34 = 7,813.89 : x
  2. Step 2: Convert to fraction form
    8,864.82/13,232.34 = 7,813.89/x
  3. Step 3: Cross multiply
    8,864.82x = 13,232.34 × 7,813.89
  4. Step 4: Simplify right side
    8,864.82x = 103,396,049.20
  5. Step 5: Solve for x
    x = 103,396,049.20/8,864.82
  6. Step 6: Final answer
    x = 11,663.64

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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.