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Finding the Fourth Proportional to 31,761.98, 47,633.21 and 21,964.22

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Solution

The fourth proportional to 31,761.98, 47,633.21 and 21,964.22 is: 32,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.98 : 47,633.21 = 21,964.22 : x
  2. Step 2: Convert to fraction form
    31,761.98/47,633.21 = 21,964.22/x
  3. Step 3: Cross multiply
    31,761.98x = 47,633.21 × 21,964.22
  4. Step 4: Simplify right side
    31,761.98x = 1,046,226,303.75
  5. Step 5: Solve for x
    x = 1,046,226,303.75/31,761.98
  6. Step 6: Final answer
    x = 32,939.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.