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Finding the Fourth Proportional to 2,018.46, 3,026.91 and 631.34

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Solution

The fourth proportional to 2,018.46, 3,026.91 and 631.34 is: 946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.46 : 3,026.91 = 631.34 : x
  2. Step 2: Convert to fraction form
    2,018.46/3,026.91 = 631.34/x
  3. Step 3: Cross multiply
    2,018.46x = 3,026.91 × 631.34
  4. Step 4: Simplify right side
    2,018.46x = 1,910,994.22
  5. Step 5: Solve for x
    x = 1,910,994.22/2,018.46
  6. Step 6: Final answer
    x = 946.76

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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.