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Finding the Fourth Proportional to 2,902.16, 4,005.96 and 2,018

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Solution

The fourth proportional to 2,902.16, 4,005.96 and 2,018 is: 2,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.16 : 4,005.96 = 2,018 : x
  2. Step 2: Convert to fraction form
    2,902.16/4,005.96 = 2,018/x
  3. Step 3: Cross multiply
    2,902.16x = 4,005.96 × 2,018
  4. Step 4: Simplify right side
    2,902.16x = 8,084,027.28
  5. Step 5: Solve for x
    x = 8,084,027.28/2,902.16
  6. Step 6: Final answer
    x = 2,785.52

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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.