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Finding the Fourth Proportional to 31,805.59, 47,706.33 and 12,083.63

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Solution

The fourth proportional to 31,805.59, 47,706.33 and 12,083.63 is: 18,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.59 : 47,706.33 = 12,083.63 : x
  2. Step 2: Convert to fraction form
    31,805.59/47,706.33 = 12,083.63/x
  3. Step 3: Cross multiply
    31,805.59x = 47,706.33 × 12,083.63
  4. Step 4: Simplify right side
    31,805.59x = 576,465,664.53
  5. Step 5: Solve for x
    x = 576,465,664.53/31,805.59
  6. Step 6: Final answer
    x = 18,124.67

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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.