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Finding the Fourth Proportional to 5,212.92, 7,817.94 and 1,748.28

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Solution

The fourth proportional to 5,212.92, 7,817.94 and 1,748.28 is: 2,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.92 : 7,817.94 = 1,748.28 : x
  2. Step 2: Convert to fraction form
    5,212.92/7,817.94 = 1,748.28/x
  3. Step 3: Cross multiply
    5,212.92x = 7,817.94 × 1,748.28
  4. Step 4: Simplify right side
    5,212.92x = 13,667,948.14
  5. Step 5: Solve for x
    x = 13,667,948.14/5,212.92
  6. Step 6: Final answer
    x = 2,621.94

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1.5x scale

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.