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Finding the Fourth Proportional to 31,901.76, 43,995.75 and 19,966.20

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Solution

The fourth proportional to 31,901.76, 43,995.75 and 19,966.20 is: 27,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.76 : 43,995.75 = 19,966.20 : x
  2. Step 2: Convert to fraction form
    31,901.76/43,995.75 = 19,966.20/x
  3. Step 3: Cross multiply
    31,901.76x = 43,995.75 × 19,966.20
  4. Step 4: Simplify right side
    31,901.76x = 878,427,943.65
  5. Step 5: Solve for x
    x = 878,427,943.65/31,901.76
  6. Step 6: Final answer
    x = 27,535.41

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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.