Home / 2,824.46-4,236.42-975.71

Finding the Fourth Proportional to 2,824.46, 4,236.42 and 975.71

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Solution

The fourth proportional to 2,824.46, 4,236.42 and 975.71 is: 1,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.46 : 4,236.42 = 975.71 : x
  2. Step 2: Convert to fraction form
    2,824.46/4,236.42 = 975.71/x
  3. Step 3: Cross multiply
    2,824.46x = 4,236.42 × 975.71
  4. Step 4: Simplify right side
    2,824.46x = 4,133,517.36
  5. Step 5: Solve for x
    x = 4,133,517.36/2,824.46
  6. Step 6: Final answer
    x = 1,463.47

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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.