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Finding the Fourth Proportional to 2,018.17, 3,027.03 and 631.41

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Solution

The fourth proportional to 2,018.17, 3,027.03 and 631.41 is: 947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.17 : 3,027.03 = 631.41 : x
  2. Step 2: Convert to fraction form
    2,018.17/3,027.03 = 631.41/x
  3. Step 3: Cross multiply
    2,018.17x = 3,027.03 × 631.41
  4. Step 4: Simplify right side
    2,018.17x = 1,911,297.01
  5. Step 5: Solve for x
    x = 1,911,297.01/2,018.17
  6. Step 6: Final answer
    x = 947.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.