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Finding the Fourth Proportional to 8,410.74, 12,616.14 and 3,788.34

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Solution

The fourth proportional to 8,410.74, 12,616.14 and 3,788.34 is: 5,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.74 : 12,616.14 = 3,788.34 : x
  2. Step 2: Convert to fraction form
    8,410.74/12,616.14 = 3,788.34/x
  3. Step 3: Cross multiply
    8,410.74x = 12,616.14 × 3,788.34
  4. Step 4: Simplify right side
    8,410.74x = 47,794,227.81
  5. Step 5: Solve for x
    x = 47,794,227.81/8,410.74
  6. Step 6: Final answer
    x = 5,682.52

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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.