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Finding the Fourth Proportional to 8,277, 11,443.86 and 7,909.80

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Solution

The fourth proportional to 8,277, 11,443.86 and 7,909.80 is: 10,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277 : 11,443.86 = 7,909.80 : x
  2. Step 2: Convert to fraction form
    8,277/11,443.86 = 7,909.80/x
  3. Step 3: Cross multiply
    8,277x = 11,443.86 × 7,909.80
  4. Step 4: Simplify right side
    8,277x = 90,518,643.83
  5. Step 5: Solve for x
    x = 90,518,643.83/8,277
  6. Step 6: Final answer
    x = 10,936.17

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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.