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Finding the Fourth Proportional to 31,162.84, 46,762.68 and 12,451.69

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Solution

The fourth proportional to 31,162.84, 46,762.68 and 12,451.69 is: 18,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.84 : 46,762.68 = 12,451.69 : x
  2. Step 2: Convert to fraction form
    31,162.84/46,762.68 = 12,451.69/x
  3. Step 3: Cross multiply
    31,162.84x = 46,762.68 × 12,451.69
  4. Step 4: Simplify right side
    31,162.84x = 582,274,394.93
  5. Step 5: Solve for x
    x = 582,274,394.93/31,162.84
  6. Step 6: Final answer
    x = 18,684.90

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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.