Home / 2,824.50-3,897.75-1,645.50

Finding the Fourth Proportional to 2,824.50, 3,897.75 and 1,645.50

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Solution

The fourth proportional to 2,824.50, 3,897.75 and 1,645.50 is: 2,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.50 : 3,897.75 = 1,645.50 : x
  2. Step 2: Convert to fraction form
    2,824.50/3,897.75 = 1,645.50/x
  3. Step 3: Cross multiply
    2,824.50x = 3,897.75 × 1,645.50
  4. Step 4: Simplify right side
    2,824.50x = 6,413,719.91
  5. Step 5: Solve for x
    x = 6,413,719.91/2,824.50
  6. Step 6: Final answer
    x = 2,270.75

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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.