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Finding the Fourth Proportional to 2,066.53, 3,100.11 and 605.74

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Solution

The fourth proportional to 2,066.53, 3,100.11 and 605.74 is: 908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.53 : 3,100.11 = 605.74 : x
  2. Step 2: Convert to fraction form
    2,066.53/3,100.11 = 605.74/x
  3. Step 3: Cross multiply
    2,066.53x = 3,100.11 × 605.74
  4. Step 4: Simplify right side
    2,066.53x = 1,877,860.63
  5. Step 5: Solve for x
    x = 1,877,860.63/2,066.53
  6. Step 6: Final answer
    x = 908.70

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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.