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Finding the Fourth Proportional to 31,853.70, 43,980.95 and 22,314.75

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Solution

The fourth proportional to 31,853.70, 43,980.95 and 22,314.75 is: 30,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.70 : 43,980.95 = 22,314.75 : x
  2. Step 2: Convert to fraction form
    31,853.70/43,980.95 = 22,314.75/x
  3. Step 3: Cross multiply
    31,853.70x = 43,980.95 × 22,314.75
  4. Step 4: Simplify right side
    31,853.70x = 981,423,792.44
  5. Step 5: Solve for x
    x = 981,423,792.44/31,853.70
  6. Step 6: Final answer
    x = 30,810.35

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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.