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Finding the Fourth Proportional to 5,236.28, 7,853.78 and 1,948.50

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Solution

The fourth proportional to 5,236.28, 7,853.78 and 1,948.50 is: 2,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.28 : 7,853.78 = 1,948.50 : x
  2. Step 2: Convert to fraction form
    5,236.28/7,853.78 = 1,948.50/x
  3. Step 3: Cross multiply
    5,236.28x = 7,853.78 × 1,948.50
  4. Step 4: Simplify right side
    5,236.28x = 15,303,090.33
  5. Step 5: Solve for x
    x = 15,303,090.33/5,236.28
  6. Step 6: Final answer
    x = 2,922.51

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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.