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Finding the Fourth Proportional to 2,838.42, 3,915 and 1,893.74

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Solution

The fourth proportional to 2,838.42, 3,915 and 1,893.74 is: 2,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.42 : 3,915 = 1,893.74 : x
  2. Step 2: Convert to fraction form
    2,838.42/3,915 = 1,893.74/x
  3. Step 3: Cross multiply
    2,838.42x = 3,915 × 1,893.74
  4. Step 4: Simplify right side
    2,838.42x = 7,413,972.53
  5. Step 5: Solve for x
    x = 7,413,972.53/2,838.42
  6. Step 6: Final answer
    x = 2,612.01

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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.