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Finding the Fourth Proportional to 7,642.27, 11,464.47 and 7,222.08

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Solution

The fourth proportional to 7,642.27, 11,464.47 and 7,222.08 is: 10,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.27 : 11,464.47 = 7,222.08 : x
  2. Step 2: Convert to fraction form
    7,642.27/11,464.47 = 7,222.08/x
  3. Step 3: Cross multiply
    7,642.27x = 11,464.47 × 7,222.08
  4. Step 4: Simplify right side
    7,642.27x = 82,797,337.55
  5. Step 5: Solve for x
    x = 82,797,337.55/7,642.27
  6. Step 6: Final answer
    x = 10,834.13

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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.