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Finding the Fourth Proportional to 3,015.70, 4,523.01 and 824.59

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Solution

The fourth proportional to 3,015.70, 4,523.01 and 824.59 is: 1,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.70 : 4,523.01 = 824.59 : x
  2. Step 2: Convert to fraction form
    3,015.70/4,523.01 = 824.59/x
  3. Step 3: Cross multiply
    3,015.70x = 4,523.01 × 824.59
  4. Step 4: Simplify right side
    3,015.70x = 3,729,628.82
  5. Step 5: Solve for x
    x = 3,729,628.82/3,015.70
  6. Step 6: Final answer
    x = 1,236.74

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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.