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Finding the Fourth Proportional to 7,161.84, 10,731.60 and 6,427.44

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Solution

The fourth proportional to 7,161.84, 10,731.60 and 6,427.44 is: 9,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 10,731.60 = 6,427.44 : x
  2. Step 2: Convert to fraction form
    7,161.84/10,731.60 = 6,427.44/x
  3. Step 3: Cross multiply
    7,161.84x = 10,731.60 × 6,427.44
  4. Step 4: Simplify right side
    7,161.84x = 68,976,715.10
  5. Step 5: Solve for x
    x = 68,976,715.10/7,161.84
  6. Step 6: Final answer
    x = 9,631.14

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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.