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Finding the Fourth Proportional to 2,017.77, 3,026.93 and 631.21

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Solution

The fourth proportional to 2,017.77, 3,026.93 and 631.21 is: 946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.77 : 3,026.93 = 631.21 : x
  2. Step 2: Convert to fraction form
    2,017.77/3,026.93 = 631.21/x
  3. Step 3: Cross multiply
    2,017.77x = 3,026.93 × 631.21
  4. Step 4: Simplify right side
    2,017.77x = 1,910,628.49
  5. Step 5: Solve for x
    x = 1,910,628.49/2,017.77
  6. Step 6: Final answer
    x = 946.90

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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.