Home / 2,823.96-3,897.92-1,829.24

Finding the Fourth Proportional to 2,823.96, 3,897.92 and 1,829.24

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Solution

The fourth proportional to 2,823.96, 3,897.92 and 1,829.24 is: 2,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.96 : 3,897.92 = 1,829.24 : x
  2. Step 2: Convert to fraction form
    2,823.96/3,897.92 = 1,829.24/x
  3. Step 3: Cross multiply
    2,823.96x = 3,897.92 × 1,829.24
  4. Step 4: Simplify right side
    2,823.96x = 7,130,231.18
  5. Step 5: Solve for x
    x = 7,130,231.18/2,823.96
  6. Step 6: Final answer
    x = 2,524.91

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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.