Home / 2,106.24-3,159.84-807.72

Finding the Fourth Proportional to 2,106.24, 3,159.84 and 807.72

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Solution

The fourth proportional to 2,106.24, 3,159.84 and 807.72 is: 1,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.24 : 3,159.84 = 807.72 : x
  2. Step 2: Convert to fraction form
    2,106.24/3,159.84 = 807.72/x
  3. Step 3: Cross multiply
    2,106.24x = 3,159.84 × 807.72
  4. Step 4: Simplify right side
    2,106.24x = 2,552,265.96
  5. Step 5: Solve for x
    x = 2,552,265.96/2,106.24
  6. Step 6: Final answer
    x = 1,211.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.