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Finding the Fourth Proportional to 2,856.50, 3,942.22 and 1,737.17

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Solution

The fourth proportional to 2,856.50, 3,942.22 and 1,737.17 is: 2,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.50 : 3,942.22 = 1,737.17 : x
  2. Step 2: Convert to fraction form
    2,856.50/3,942.22 = 1,737.17/x
  3. Step 3: Cross multiply
    2,856.50x = 3,942.22 × 1,737.17
  4. Step 4: Simplify right side
    2,856.50x = 6,848,282.26
  5. Step 5: Solve for x
    x = 6,848,282.26/2,856.50
  6. Step 6: Final answer
    x = 2,397.44

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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.