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Finding the Fourth Proportional to 2,775.39, 3,829.03 and 1,781.11

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Solution

The fourth proportional to 2,775.39, 3,829.03 and 1,781.11 is: 2,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.39 : 3,829.03 = 1,781.11 : x
  2. Step 2: Convert to fraction form
    2,775.39/3,829.03 = 1,781.11/x
  3. Step 3: Cross multiply
    2,775.39x = 3,829.03 × 1,781.11
  4. Step 4: Simplify right side
    2,775.39x = 6,819,923.62
  5. Step 5: Solve for x
    x = 6,819,923.62/2,775.39
  6. Step 6: Final answer
    x = 2,457.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.