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Finding the Fourth Proportional to 7,771.68, 11,655.72 and 2,224.08

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Solution

The fourth proportional to 7,771.68, 11,655.72 and 2,224.08 is: 3,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.68 : 11,655.72 = 2,224.08 : x
  2. Step 2: Convert to fraction form
    7,771.68/11,655.72 = 2,224.08/x
  3. Step 3: Cross multiply
    7,771.68x = 11,655.72 × 2,224.08
  4. Step 4: Simplify right side
    7,771.68x = 25,923,253.74
  5. Step 5: Solve for x
    x = 25,923,253.74/7,771.68
  6. Step 6: Final answer
    x = 3,335.60

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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.