Home / 2,823.91-3,896.85-1,564.95

Finding the Fourth Proportional to 2,823.91, 3,896.85 and 1,564.95

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Solution

The fourth proportional to 2,823.91, 3,896.85 and 1,564.95 is: 2,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.91 : 3,896.85 = 1,564.95 : x
  2. Step 2: Convert to fraction form
    2,823.91/3,896.85 = 1,564.95/x
  3. Step 3: Cross multiply
    2,823.91x = 3,896.85 × 1,564.95
  4. Step 4: Simplify right side
    2,823.91x = 6,098,364.34
  5. Step 5: Solve for x
    x = 6,098,364.34/2,823.91
  6. Step 6: Final answer
    x = 2,159.55

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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.