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Finding the Fourth Proportional to 7,636.66, 10,538.85 and 7,286.74

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Solution

The fourth proportional to 7,636.66, 10,538.85 and 7,286.74 is: 10,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.66 : 10,538.85 = 7,286.74 : x
  2. Step 2: Convert to fraction form
    7,636.66/10,538.85 = 7,286.74/x
  3. Step 3: Cross multiply
    7,636.66x = 10,538.85 × 7,286.74
  4. Step 4: Simplify right side
    7,636.66x = 76,793,859.85
  5. Step 5: Solve for x
    x = 76,793,859.85/7,636.66
  6. Step 6: Final answer
    x = 10,055.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.