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Finding the Fourth Proportional to 12,809.78, 19,214.67 and 3,575.78

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Solution

The fourth proportional to 12,809.78, 19,214.67 and 3,575.78 is: 5,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.78 : 19,214.67 = 3,575.78 : x
  2. Step 2: Convert to fraction form
    12,809.78/19,214.67 = 3,575.78/x
  3. Step 3: Cross multiply
    12,809.78x = 19,214.67 × 3,575.78
  4. Step 4: Simplify right side
    12,809.78x = 68,707,432.69
  5. Step 5: Solve for x
    x = 68,707,432.69/12,809.78
  6. Step 6: Final answer
    x = 5,363.67

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Similar ratio
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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.