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Finding the Fourth Proportional to 31,841.77, 43,941.90 and 19,912.02

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Solution

The fourth proportional to 31,841.77, 43,941.90 and 19,912.02 is: 27,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.77 : 43,941.90 = 19,912.02 : x
  2. Step 2: Convert to fraction form
    31,841.77/43,941.90 = 19,912.02/x
  3. Step 3: Cross multiply
    31,841.77x = 43,941.90 × 19,912.02
  4. Step 4: Simplify right side
    31,841.77x = 874,971,991.64
  5. Step 5: Solve for x
    x = 874,971,991.64/31,841.77
  6. Step 6: Final answer
    x = 27,478.75

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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.