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Finding the Fourth Proportional to 7,642.74, 11,465.17 and 7,222.55

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Solution

The fourth proportional to 7,642.74, 11,465.17 and 7,222.55 is: 10,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.74 : 11,465.17 = 7,222.55 : x
  2. Step 2: Convert to fraction form
    7,642.74/11,465.17 = 7,222.55/x
  3. Step 3: Cross multiply
    7,642.74x = 11,465.17 × 7,222.55
  4. Step 4: Simplify right side
    7,642.74x = 82,807,763.58
  5. Step 5: Solve for x
    x = 82,807,763.58/7,642.74
  6. Step 6: Final answer
    x = 10,834.83

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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.