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Finding the Fourth Proportional to 5,654, 8,480.98 and 3,705.75

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Solution

The fourth proportional to 5,654, 8,480.98 and 3,705.75 is: 5,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654 : 8,480.98 = 3,705.75 : x
  2. Step 2: Convert to fraction form
    5,654/8,480.98 = 3,705.75/x
  3. Step 3: Cross multiply
    5,654x = 8,480.98 × 3,705.75
  4. Step 4: Simplify right side
    5,654x = 31,428,391.64
  5. Step 5: Solve for x
    x = 31,428,391.64/5,654
  6. Step 6: Final answer
    x = 5,558.61

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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.