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Finding the Fourth Proportional to 22,770.30, 31,422.87 and 12,698.87

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Solution

The fourth proportional to 22,770.30, 31,422.87 and 12,698.87 is: 17,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.30 : 31,422.87 = 12,698.87 : x
  2. Step 2: Convert to fraction form
    22,770.30/31,422.87 = 12,698.87/x
  3. Step 3: Cross multiply
    22,770.30x = 31,422.87 × 12,698.87
  4. Step 4: Simplify right side
    22,770.30x = 399,034,784.04
  5. Step 5: Solve for x
    x = 399,034,784.04/22,770.30
  6. Step 6: Final answer
    x = 17,524.35

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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.