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Finding the Fourth Proportional to 7,811, 11,713.68 and 3,132.08

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Solution

The fourth proportional to 7,811, 11,713.68 and 3,132.08 is: 4,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811 : 11,713.68 = 3,132.08 : x
  2. Step 2: Convert to fraction form
    7,811/11,713.68 = 3,132.08/x
  3. Step 3: Cross multiply
    7,811x = 11,713.68 × 3,132.08
  4. Step 4: Simplify right side
    7,811x = 36,688,182.85
  5. Step 5: Solve for x
    x = 36,688,182.85/7,811
  6. Step 6: Final answer
    x = 4,696.99

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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.