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Finding the Fourth Proportional to 2,144.16, 2,958.12 and 1,259.64

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Solution

The fourth proportional to 2,144.16, 2,958.12 and 1,259.64 is: 1,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.16 : 2,958.12 = 1,259.64 : x
  2. Step 2: Convert to fraction form
    2,144.16/2,958.12 = 1,259.64/x
  3. Step 3: Cross multiply
    2,144.16x = 2,958.12 × 1,259.64
  4. Step 4: Simplify right side
    2,144.16x = 3,726,166.28
  5. Step 5: Solve for x
    x = 3,726,166.28/2,144.16
  6. Step 6: Final answer
    x = 1,737.82

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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.