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Finding the Fourth Proportional to 22,930.62, 31,643.48 and 12,859.62

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Solution

The fourth proportional to 22,930.62, 31,643.48 and 12,859.62 is: 17,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.62 : 31,643.48 = 12,859.62 : x
  2. Step 2: Convert to fraction form
    22,930.62/31,643.48 = 12,859.62/x
  3. Step 3: Cross multiply
    22,930.62x = 31,643.48 × 12,859.62
  4. Step 4: Simplify right side
    22,930.62x = 406,923,128.28
  5. Step 5: Solve for x
    x = 406,923,128.28/22,930.62
  6. Step 6: Final answer
    x = 17,745.84

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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.