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Finding the Fourth Proportional to 2,120.02, 2,926.02 and 1,323.70

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Solution

The fourth proportional to 2,120.02, 2,926.02 and 1,323.70 is: 1,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.02 : 2,926.02 = 1,323.70 : x
  2. Step 2: Convert to fraction form
    2,120.02/2,926.02 = 1,323.70/x
  3. Step 3: Cross multiply
    2,120.02x = 2,926.02 × 1,323.70
  4. Step 4: Simplify right side
    2,120.02x = 3,873,190.90
  5. Step 5: Solve for x
    x = 3,873,190.90/2,120.02
  6. Step 6: Final answer
    x = 1,826.96

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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.