Home / 2,826.24-3,897.12-1,776.48

Finding the Fourth Proportional to 2,826.24, 3,897.12 and 1,776.48

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Solution

The fourth proportional to 2,826.24, 3,897.12 and 1,776.48 is: 2,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.24 : 3,897.12 = 1,776.48 : x
  2. Step 2: Convert to fraction form
    2,826.24/3,897.12 = 1,776.48/x
  3. Step 3: Cross multiply
    2,826.24x = 3,897.12 × 1,776.48
  4. Step 4: Simplify right side
    2,826.24x = 6,923,155.74
  5. Step 5: Solve for x
    x = 6,923,155.74/2,826.24
  6. Step 6: Final answer
    x = 2,449.60

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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.