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Finding the Fourth Proportional to 31,661, 43,705.62 and 19,730.24

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Solution

The fourth proportional to 31,661, 43,705.62 and 19,730.24 is: 27,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661 : 43,705.62 = 19,730.24 : x
  2. Step 2: Convert to fraction form
    31,661/43,705.62 = 19,730.24/x
  3. Step 3: Cross multiply
    31,661x = 43,705.62 × 19,730.24
  4. Step 4: Simplify right side
    31,661x = 862,322,371.95
  5. Step 5: Solve for x
    x = 862,322,371.95/31,661
  6. Step 6: Final answer
    x = 27,236.11

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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.