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Finding the Fourth Proportional to 22,855.87, 31,543.71 and 12,786.86

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Solution

The fourth proportional to 22,855.87, 31,543.71 and 12,786.86 is: 17,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.87 : 31,543.71 = 12,786.86 : x
  2. Step 2: Convert to fraction form
    22,855.87/31,543.71 = 12,786.86/x
  3. Step 3: Cross multiply
    22,855.87x = 31,543.71 × 12,786.86
  4. Step 4: Simplify right side
    22,855.87x = 403,344,845.93
  5. Step 5: Solve for x
    x = 403,344,845.93/22,855.87
  6. Step 6: Final answer
    x = 17,647.32

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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.