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Finding the Fourth Proportional to 2,872.76, 3,953.01 and 2,787.12

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Solution

The fourth proportional to 2,872.76, 3,953.01 and 2,787.12 is: 3,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.76 : 3,953.01 = 2,787.12 : x
  2. Step 2: Convert to fraction form
    2,872.76/3,953.01 = 2,787.12/x
  3. Step 3: Cross multiply
    2,872.76x = 3,953.01 × 2,787.12
  4. Step 4: Simplify right side
    2,872.76x = 11,017,513.23
  5. Step 5: Solve for x
    x = 11,017,513.23/2,872.76
  6. Step 6: Final answer
    x = 3,835.17

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Half scale
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Double scale
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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.