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Finding the Fourth Proportional to 8,410, 12,616.98 and 2,566.24

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Solution

The fourth proportional to 8,410, 12,616.98 and 2,566.24 is: 3,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 12,616.98 = 2,566.24 : x
  2. Step 2: Convert to fraction form
    8,410/12,616.98 = 2,566.24/x
  3. Step 3: Cross multiply
    8,410x = 12,616.98 × 2,566.24
  4. Step 4: Simplify right side
    8,410x = 32,378,198.76
  5. Step 5: Solve for x
    x = 32,378,198.76/8,410
  6. Step 6: Final answer
    x = 3,849.96

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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.