Home / 2,823.46-3,896.28-1,564.57

Finding the Fourth Proportional to 2,823.46, 3,896.28 and 1,564.57

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Solution

The fourth proportional to 2,823.46, 3,896.28 and 1,564.57 is: 2,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.46 : 3,896.28 = 1,564.57 : x
  2. Step 2: Convert to fraction form
    2,823.46/3,896.28 = 1,564.57/x
  3. Step 3: Cross multiply
    2,823.46x = 3,896.28 × 1,564.57
  4. Step 4: Simplify right side
    2,823.46x = 6,096,002.80
  5. Step 5: Solve for x
    x = 6,096,002.80/2,823.46
  6. Step 6: Final answer
    x = 2,159.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.