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Finding the Fourth Proportional to 5,391.49, 8,087.49 and 1,693.75

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Solution

The fourth proportional to 5,391.49, 8,087.49 and 1,693.75 is: 2,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.49 : 8,087.49 = 1,693.75 : x
  2. Step 2: Convert to fraction form
    5,391.49/8,087.49 = 1,693.75/x
  3. Step 3: Cross multiply
    5,391.49x = 8,087.49 × 1,693.75
  4. Step 4: Simplify right side
    5,391.49x = 13,698,186.19
  5. Step 5: Solve for x
    x = 13,698,186.19/5,391.49
  6. Step 6: Final answer
    x = 2,540.71

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.