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Finding the Fourth Proportional to 8,405.76, 12,610.66 and 3,788.76

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Solution

The fourth proportional to 8,405.76, 12,610.66 and 3,788.76 is: 5,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.76 : 12,610.66 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    8,405.76/12,610.66 = 3,788.76/x
  3. Step 3: Cross multiply
    8,405.76x = 12,610.66 × 3,788.76
  4. Step 4: Simplify right side
    8,405.76x = 47,778,764.18
  5. Step 5: Solve for x
    x = 47,778,764.18/8,405.76
  6. Step 6: Final answer
    x = 5,684.05

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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.