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Finding the Fourth Proportional to 7,775.49, 11,663.21 and 6,474.21

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Solution

The fourth proportional to 7,775.49, 11,663.21 and 6,474.21 is: 9,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.49 : 11,663.21 = 6,474.21 : x
  2. Step 2: Convert to fraction form
    7,775.49/11,663.21 = 6,474.21/x
  3. Step 3: Cross multiply
    7,775.49x = 11,663.21 × 6,474.21
  4. Step 4: Simplify right side
    7,775.49x = 75,510,038.44
  5. Step 5: Solve for x
    x = 75,510,038.44/7,775.49
  6. Step 6: Final answer
    x = 9,711.29

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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.