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Finding the Fourth Proportional to 3,869.96, 5,805.03 and 948.29

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Solution

The fourth proportional to 3,869.96, 5,805.03 and 948.29 is: 1,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.96 : 5,805.03 = 948.29 : x
  2. Step 2: Convert to fraction form
    3,869.96/5,805.03 = 948.29/x
  3. Step 3: Cross multiply
    3,869.96x = 5,805.03 × 948.29
  4. Step 4: Simplify right side
    3,869.96x = 5,504,851.90
  5. Step 5: Solve for x
    x = 5,504,851.90/3,869.96
  6. Step 6: Final answer
    x = 1,422.46

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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.