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Finding the Fourth Proportional to 22,859.62, 31,544.80 and 12,786.32

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Solution

The fourth proportional to 22,859.62, 31,544.80 and 12,786.32 is: 17,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.62 : 31,544.80 = 12,786.32 : x
  2. Step 2: Convert to fraction form
    22,859.62/31,544.80 = 12,786.32/x
  3. Step 3: Cross multiply
    22,859.62x = 31,544.80 × 12,786.32
  4. Step 4: Simplify right side
    22,859.62x = 403,341,907.14
  5. Step 5: Solve for x
    x = 403,341,907.14/22,859.62
  6. Step 6: Final answer
    x = 17,644.30

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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.