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Finding the Fourth Proportional to 5,687.52, 7,838.28 and 4,112.88

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Solution

The fourth proportional to 5,687.52, 7,838.28 and 4,112.88 is: 5,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.52 : 7,838.28 = 4,112.88 : x
  2. Step 2: Convert to fraction form
    5,687.52/7,838.28 = 4,112.88/x
  3. Step 3: Cross multiply
    5,687.52x = 7,838.28 × 4,112.88
  4. Step 4: Simplify right side
    5,687.52x = 32,237,905.05
  5. Step 5: Solve for x
    x = 32,237,905.05/5,687.52
  6. Step 6: Final answer
    x = 5,668.18

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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.