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Finding the Fourth Proportional to 5,187.74, 7,782.10 and 2,066.99

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Solution

The fourth proportional to 5,187.74, 7,782.10 and 2,066.99 is: 3,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.74 : 7,782.10 = 2,066.99 : x
  2. Step 2: Convert to fraction form
    5,187.74/7,782.10 = 2,066.99/x
  3. Step 3: Cross multiply
    5,187.74x = 7,782.10 × 2,066.99
  4. Step 4: Simplify right side
    5,187.74x = 16,085,537.17
  5. Step 5: Solve for x
    x = 16,085,537.17/5,187.74
  6. Step 6: Final answer
    x = 3,100.68

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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.