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Finding the Fourth Proportional to 6,410.48, 8,839.32 and 5,257.19

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Solution

The fourth proportional to 6,410.48, 8,839.32 and 5,257.19 is: 7,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.48 : 8,839.32 = 5,257.19 : x
  2. Step 2: Convert to fraction form
    6,410.48/8,839.32 = 5,257.19/x
  3. Step 3: Cross multiply
    6,410.48x = 8,839.32 × 5,257.19
  4. Step 4: Simplify right side
    6,410.48x = 46,469,984.71
  5. Step 5: Solve for x
    x = 46,469,984.71/6,410.48
  6. Step 6: Final answer
    x = 7,249.06

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Half scale
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Double scale
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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.