Home / 2,823.36-3,896.51-1,564.82

Finding the Fourth Proportional to 2,823.36, 3,896.51 and 1,564.82

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Solution

The fourth proportional to 2,823.36, 3,896.51 and 1,564.82 is: 2,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.36 : 3,896.51 = 1,564.82 : x
  2. Step 2: Convert to fraction form
    2,823.36/3,896.51 = 1,564.82/x
  3. Step 3: Cross multiply
    2,823.36x = 3,896.51 × 1,564.82
  4. Step 4: Simplify right side
    2,823.36x = 6,097,324.08
  5. Step 5: Solve for x
    x = 6,097,324.08/2,823.36
  6. Step 6: Final answer
    x = 2,159.60

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1.5x scale

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.