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Finding the Fourth Proportional to 5,211.48, 7,192 and 2,853.58

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Solution

The fourth proportional to 5,211.48, 7,192 and 2,853.58 is: 3,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.48 : 7,192 = 2,853.58 : x
  2. Step 2: Convert to fraction form
    5,211.48/7,192 = 2,853.58/x
  3. Step 3: Cross multiply
    5,211.48x = 7,192 × 2,853.58
  4. Step 4: Simplify right side
    5,211.48x = 20,522,947.36
  5. Step 5: Solve for x
    x = 20,522,947.36/5,211.48
  6. Step 6: Final answer
    x = 3,938.03

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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.