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Finding the Fourth Proportional to 31,602.54, 43,620.18 and 19,658.74

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Solution

The fourth proportional to 31,602.54, 43,620.18 and 19,658.74 is: 27,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.54 : 43,620.18 = 19,658.74 : x
  2. Step 2: Convert to fraction form
    31,602.54/43,620.18 = 19,658.74/x
  3. Step 3: Cross multiply
    31,602.54x = 43,620.18 × 19,658.74
  4. Step 4: Simplify right side
    31,602.54x = 857,517,777.37
  5. Step 5: Solve for x
    x = 857,517,777.37/31,602.54
  6. Step 6: Final answer
    x = 27,134.46

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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.