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Finding the Fourth Proportional to 2,122.64, 3,163.12 and 2,053.04

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Solution

The fourth proportional to 2,122.64, 3,163.12 and 2,053.04 is: 3,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.64 : 3,163.12 = 2,053.04 : x
  2. Step 2: Convert to fraction form
    2,122.64/3,163.12 = 2,053.04/x
  3. Step 3: Cross multiply
    2,122.64x = 3,163.12 × 2,053.04
  4. Step 4: Simplify right side
    2,122.64x = 6,494,011.88
  5. Step 5: Solve for x
    x = 6,494,011.88/2,122.64
  6. Step 6: Final answer
    x = 3,059.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.