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Finding the Fourth Proportional to 8,294.78, 11,438.01 and 6,406.67

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Solution

The fourth proportional to 8,294.78, 11,438.01 and 6,406.67 is: 8,834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.78 : 11,438.01 = 6,406.67 : x
  2. Step 2: Convert to fraction form
    8,294.78/11,438.01 = 6,406.67/x
  3. Step 3: Cross multiply
    8,294.78x = 11,438.01 × 6,406.67
  4. Step 4: Simplify right side
    8,294.78x = 73,279,498.34
  5. Step 5: Solve for x
    x = 73,279,498.34/8,294.78
  6. Step 6: Final answer
    x = 8,834.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.