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Finding the Fourth Proportional to 31,908.60, 47,832 and 17,875.44

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Solution

The fourth proportional to 31,908.60, 47,832 and 17,875.44 is: 26,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.60 : 47,832 = 17,875.44 : x
  2. Step 2: Convert to fraction form
    31,908.60/47,832 = 17,875.44/x
  3. Step 3: Cross multiply
    31,908.60x = 47,832 × 17,875.44
  4. Step 4: Simplify right side
    31,908.60x = 855,018,046.08
  5. Step 5: Solve for x
    x = 855,018,046.08/31,908.60
  6. Step 6: Final answer
    x = 26,795.85

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