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Finding the Fourth Proportional to 22,971.44, 31,698.12 and 12,900.96

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Solution

The fourth proportional to 22,971.44, 31,698.12 and 12,900.96 is: 17,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.44 : 31,698.12 = 12,900.96 : x
  2. Step 2: Convert to fraction form
    22,971.44/31,698.12 = 12,900.96/x
  3. Step 3: Cross multiply
    22,971.44x = 31,698.12 × 12,900.96
  4. Step 4: Simplify right side
    22,971.44x = 408,936,178.20
  5. Step 5: Solve for x
    x = 408,936,178.20/22,971.44
  6. Step 6: Final answer
    x = 17,801.94

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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.