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Finding the Fourth Proportional to 7,855.92, 11,783.70 and 2,309.12

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Solution

The fourth proportional to 7,855.92, 11,783.70 and 2,309.12 is: 3,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.92 : 11,783.70 = 2,309.12 : x
  2. Step 2: Convert to fraction form
    7,855.92/11,783.70 = 2,309.12/x
  3. Step 3: Cross multiply
    7,855.92x = 11,783.70 × 2,309.12
  4. Step 4: Simplify right side
    7,855.92x = 27,209,977.34
  5. Step 5: Solve for x
    x = 27,209,977.34/7,855.92
  6. Step 6: Final answer
    x = 3,463.63

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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.