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Finding the Fourth Proportional to 31,751.87, 43,807.58 and 19,822.12

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Solution

The fourth proportional to 31,751.87, 43,807.58 and 19,822.12 is: 27,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.87 : 43,807.58 = 19,822.12 : x
  2. Step 2: Convert to fraction form
    31,751.87/43,807.58 = 19,822.12/x
  3. Step 3: Cross multiply
    31,751.87x = 43,807.58 × 19,822.12
  4. Step 4: Simplify right side
    31,751.87x = 868,359,084.87
  5. Step 5: Solve for x
    x = 868,359,084.87/31,751.87
  6. Step 6: Final answer
    x = 27,348.28

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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.