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Finding the Fourth Proportional to 9,620.10, 14,409.87 and 8,154.09

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Solution

The fourth proportional to 9,620.10, 14,409.87 and 8,154.09 is: 12,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.10 : 14,409.87 = 8,154.09 : x
  2. Step 2: Convert to fraction form
    9,620.10/14,409.87 = 8,154.09/x
  3. Step 3: Cross multiply
    9,620.10x = 14,409.87 × 8,154.09
  4. Step 4: Simplify right side
    9,620.10x = 117,499,376.87
  5. Step 5: Solve for x
    x = 117,499,376.87/9,620.10
  6. Step 6: Final answer
    x = 12,213.95

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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.