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Finding the Fourth Proportional to 2,783.92, 3,838.16 and 2,312.24

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Solution

The fourth proportional to 2,783.92, 3,838.16 and 2,312.24 is: 3,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.92 : 3,838.16 = 2,312.24 : x
  2. Step 2: Convert to fraction form
    2,783.92/3,838.16 = 2,312.24/x
  3. Step 3: Cross multiply
    2,783.92x = 3,838.16 × 2,312.24
  4. Step 4: Simplify right side
    2,783.92x = 8,874,747.08
  5. Step 5: Solve for x
    x = 8,874,747.08/2,783.92
  6. Step 6: Final answer
    x = 3,187.86

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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.