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Finding the Fourth Proportional to 8,351.78, 12,509.62 and 7,861.05

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Solution

The fourth proportional to 8,351.78, 12,509.62 and 7,861.05 is: 11,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.78 : 12,509.62 = 7,861.05 : x
  2. Step 2: Convert to fraction form
    8,351.78/12,509.62 = 7,861.05/x
  3. Step 3: Cross multiply
    8,351.78x = 12,509.62 × 7,861.05
  4. Step 4: Simplify right side
    8,351.78x = 98,338,709.00
  5. Step 5: Solve for x
    x = 98,338,709.00/8,351.78
  6. Step 6: Final answer
    x = 11,774.59

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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.