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Finding the Fourth Proportional to 8,405.77, 12,616.91 and 6,412.87

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Solution

The fourth proportional to 8,405.77, 12,616.91 and 6,412.87 is: 9,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.77 : 12,616.91 = 6,412.87 : x
  2. Step 2: Convert to fraction form
    8,405.77/12,616.91 = 6,412.87/x
  3. Step 3: Cross multiply
    8,405.77x = 12,616.91 × 6,412.87
  4. Step 4: Simplify right side
    8,405.77x = 80,910,508.48
  5. Step 5: Solve for x
    x = 80,910,508.48/8,405.77
  6. Step 6: Final answer
    x = 9,625.59

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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.