Home / 2,823.22-3,895.96-1,564.23

Finding the Fourth Proportional to 2,823.22, 3,895.96 and 1,564.23

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Solution

The fourth proportional to 2,823.22, 3,895.96 and 1,564.23 is: 2,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.22 : 3,895.96 = 1,564.23 : x
  2. Step 2: Convert to fraction form
    2,823.22/3,895.96 = 1,564.23/x
  3. Step 3: Cross multiply
    2,823.22x = 3,895.96 × 1,564.23
  4. Step 4: Simplify right side
    2,823.22x = 6,094,177.51
  5. Step 5: Solve for x
    x = 6,094,177.51/2,823.22
  6. Step 6: Final answer
    x = 2,158.59

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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.