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Finding the Fourth Proportional to 5,687.88, 7,853.14 and 3,564.28

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Solution

The fourth proportional to 5,687.88, 7,853.14 and 3,564.28 is: 4,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.88 : 7,853.14 = 3,564.28 : x
  2. Step 2: Convert to fraction form
    5,687.88/7,853.14 = 3,564.28/x
  3. Step 3: Cross multiply
    5,687.88x = 7,853.14 × 3,564.28
  4. Step 4: Simplify right side
    5,687.88x = 27,990,789.84
  5. Step 5: Solve for x
    x = 27,990,789.84/5,687.88
  6. Step 6: Final answer
    x = 4,921.13

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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.