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Finding the Fourth Proportional to 31,772.85, 43,840.22 and 19,197.63

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Solution

The fourth proportional to 31,772.85, 43,840.22 and 19,197.63 is: 26,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.85 : 43,840.22 = 19,197.63 : x
  2. Step 2: Convert to fraction form
    31,772.85/43,840.22 = 19,197.63/x
  3. Step 3: Cross multiply
    31,772.85x = 43,840.22 × 19,197.63
  4. Step 4: Simplify right side
    31,772.85x = 841,628,226.69
  5. Step 5: Solve for x
    x = 841,628,226.69/31,772.85
  6. Step 6: Final answer
    x = 26,488.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.