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Finding the Fourth Proportional to 31,867.15, 47,807.11 and 17,847.12

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Solution

The fourth proportional to 31,867.15, 47,807.11 and 17,847.12 is: 26,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,867.15 : 47,807.11 = 17,847.12 : x
  2. Step 2: Convert to fraction form
    31,867.15/47,807.11 = 17,847.12/x
  3. Step 3: Cross multiply
    31,867.15x = 47,807.11 × 17,847.12
  4. Step 4: Simplify right side
    31,867.15x = 853,219,229.02
  5. Step 5: Solve for x
    x = 853,219,229.02/31,867.15
  6. Step 6: Final answer
    x = 26,774.26

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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.