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Finding the Fourth Proportional to 31,915.67, 47,873.50 and 12,196.22

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Solution

The fourth proportional to 31,915.67, 47,873.50 and 12,196.22 is: 18,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,915.67 : 47,873.50 = 12,196.22 : x
  2. Step 2: Convert to fraction form
    31,915.67/47,873.50 = 12,196.22/x
  3. Step 3: Cross multiply
    31,915.67x = 47,873.50 × 12,196.22
  4. Step 4: Simplify right side
    31,915.67x = 583,875,468.31
  5. Step 5: Solve for x
    x = 583,875,468.31/31,915.67
  6. Step 6: Final answer
    x = 18,294.32

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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.