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Finding the Fourth Proportional to 8,468.40, 12,701.91 and 3,788.67

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Solution

The fourth proportional to 8,468.40, 12,701.91 and 3,788.67 is: 5,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.40 : 12,701.91 = 3,788.67 : x
  2. Step 2: Convert to fraction form
    8,468.40/12,701.91 = 3,788.67/x
  3. Step 3: Cross multiply
    8,468.40x = 12,701.91 × 3,788.67
  4. Step 4: Simplify right side
    8,468.40x = 48,123,407.20
  5. Step 5: Solve for x
    x = 48,123,407.20/8,468.40
  6. Step 6: Final answer
    x = 5,682.70

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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.