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Finding the Fourth Proportional to 6,493.07, 8,949.96 and 5,640.14

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Solution

The fourth proportional to 6,493.07, 8,949.96 and 5,640.14 is: 7,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.07 : 8,949.96 = 5,640.14 : x
  2. Step 2: Convert to fraction form
    6,493.07/8,949.96 = 5,640.14/x
  3. Step 3: Cross multiply
    6,493.07x = 8,949.96 × 5,640.14
  4. Step 4: Simplify right side
    6,493.07x = 50,478,982.64
  5. Step 5: Solve for x
    x = 50,478,982.64/6,493.07
  6. Step 6: Final answer
    x = 7,774.29

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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.