Home / 2,823.66-3,896.28-1,564.56

Finding the Fourth Proportional to 2,823.66, 3,896.28 and 1,564.56

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Solution

The fourth proportional to 2,823.66, 3,896.28 and 1,564.56 is: 2,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.66 : 3,896.28 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    2,823.66/3,896.28 = 1,564.56/x
  3. Step 3: Cross multiply
    2,823.66x = 3,896.28 × 1,564.56
  4. Step 4: Simplify right side
    2,823.66x = 6,095,963.84
  5. Step 5: Solve for x
    x = 6,095,963.84/2,823.66
  6. Step 6: Final answer
    x = 2,158.89

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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.