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Finding the Fourth Proportional to 12,842.15, 19,255.93 and 7,651.67

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Solution

The fourth proportional to 12,842.15, 19,255.93 and 7,651.67 is: 11,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.15 : 19,255.93 = 7,651.67 : x
  2. Step 2: Convert to fraction form
    12,842.15/19,255.93 = 7,651.67/x
  3. Step 3: Cross multiply
    12,842.15x = 19,255.93 × 7,651.67
  4. Step 4: Simplify right side
    12,842.15x = 147,339,906.49
  5. Step 5: Solve for x
    x = 147,339,906.49/12,842.15
  6. Step 6: Final answer
    x = 11,473.15

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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.