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Finding the Fourth Proportional to 31,234.70, 46,851.90 and 7,861.14

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Solution

The fourth proportional to 31,234.70, 46,851.90 and 7,861.14 is: 11,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234.70 : 46,851.90 = 7,861.14 : x
  2. Step 2: Convert to fraction form
    31,234.70/46,851.90 = 7,861.14/x
  3. Step 3: Cross multiply
    31,234.70x = 46,851.90 × 7,861.14
  4. Step 4: Simplify right side
    31,234.70x = 368,309,345.17
  5. Step 5: Solve for x
    x = 368,309,345.17/31,234.70
  6. Step 6: Final answer
    x = 11,791.67

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1.5x scale

Why These Related Problems?

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