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Finding the Fourth Proportional to 7,674.14, 11,511.21 and 5,487.14

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Solution

The fourth proportional to 7,674.14, 11,511.21 and 5,487.14 is: 8,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.14 : 11,511.21 = 5,487.14 : x
  2. Step 2: Convert to fraction form
    7,674.14/11,511.21 = 5,487.14/x
  3. Step 3: Cross multiply
    7,674.14x = 11,511.21 × 5,487.14
  4. Step 4: Simplify right side
    7,674.14x = 63,163,670.19
  5. Step 5: Solve for x
    x = 63,163,670.19/7,674.14
  6. Step 6: Final answer
    x = 8,230.71

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Half scale
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Double scale
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Similar ratio
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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.