Home / 2,823.29-3,896.37-1,564.47

Finding the Fourth Proportional to 2,823.29, 3,896.37 and 1,564.47

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Solution

The fourth proportional to 2,823.29, 3,896.37 and 1,564.47 is: 2,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.29 : 3,896.37 = 1,564.47 : x
  2. Step 2: Convert to fraction form
    2,823.29/3,896.37 = 1,564.47/x
  3. Step 3: Cross multiply
    2,823.29x = 3,896.37 × 1,564.47
  4. Step 4: Simplify right side
    2,823.29x = 6,095,753.97
  5. Step 5: Solve for x
    x = 6,095,753.97/2,823.29
  6. Step 6: Final answer
    x = 2,159.10

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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.