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Finding the Fourth Proportional to 2,066.85, 3,100.10 and 606.11

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Solution

The fourth proportional to 2,066.85, 3,100.10 and 606.11 is: 909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.85 : 3,100.10 = 606.11 : x
  2. Step 2: Convert to fraction form
    2,066.85/3,100.10 = 606.11/x
  3. Step 3: Cross multiply
    2,066.85x = 3,100.10 × 606.11
  4. Step 4: Simplify right side
    2,066.85x = 1,878,983.08
  5. Step 5: Solve for x
    x = 1,878,983.08/2,066.85
  6. Step 6: Final answer
    x = 909.10

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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.