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Finding the Fourth Proportional to 7,684.34, 11,530.76 and 7,126.65

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Solution

The fourth proportional to 7,684.34, 11,530.76 and 7,126.65 is: 10,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.34 : 11,530.76 = 7,126.65 : x
  2. Step 2: Convert to fraction form
    7,684.34/11,530.76 = 7,126.65/x
  3. Step 3: Cross multiply
    7,684.34x = 11,530.76 × 7,126.65
  4. Step 4: Simplify right side
    7,684.34x = 82,175,655.12
  5. Step 5: Solve for x
    x = 82,175,655.12/7,684.34
  6. Step 6: Final answer
    x = 10,693.92

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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.