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Finding the Fourth Proportional to 5,705.99, 7,871.84 and 3,580.07

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Solution

The fourth proportional to 5,705.99, 7,871.84 and 3,580.07 is: 4,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.99 : 7,871.84 = 3,580.07 : x
  2. Step 2: Convert to fraction form
    5,705.99/7,871.84 = 3,580.07/x
  3. Step 3: Cross multiply
    5,705.99x = 7,871.84 × 3,580.07
  4. Step 4: Simplify right side
    5,705.99x = 28,181,698.87
  5. Step 5: Solve for x
    x = 28,181,698.87/5,705.99
  6. Step 6: Final answer
    x = 4,938.97

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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.