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Finding the Fourth Proportional to 8,777.73, 13,098.66 and 7,843.13

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Solution

The fourth proportional to 8,777.73, 13,098.66 and 7,843.13 is: 11,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.73 : 13,098.66 = 7,843.13 : x
  2. Step 2: Convert to fraction form
    8,777.73/13,098.66 = 7,843.13/x
  3. Step 3: Cross multiply
    8,777.73x = 13,098.66 × 7,843.13
  4. Step 4: Simplify right side
    8,777.73x = 102,734,427.71
  5. Step 5: Solve for x
    x = 102,734,427.71/8,777.73
  6. Step 6: Final answer
    x = 11,703.99

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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.