Home / 3,015.40-4,523.31-824.14

Finding the Fourth Proportional to 3,015.40, 4,523.31 and 824.14

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Solution

The fourth proportional to 3,015.40, 4,523.31 and 824.14 is: 1,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.40 : 4,523.31 = 824.14 : x
  2. Step 2: Convert to fraction form
    3,015.40/4,523.31 = 824.14/x
  3. Step 3: Cross multiply
    3,015.40x = 4,523.31 × 824.14
  4. Step 4: Simplify right side
    3,015.40x = 3,727,840.70
  5. Step 5: Solve for x
    x = 3,727,840.70/3,015.40
  6. Step 6: Final answer
    x = 1,236.27

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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.