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Finding the Fourth Proportional to 3,860.21, 5,788.29 and 1,778.42

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Solution

The fourth proportional to 3,860.21, 5,788.29 and 1,778.42 is: 2,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.21 : 5,788.29 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    3,860.21/5,788.29 = 1,778.42/x
  3. Step 3: Cross multiply
    3,860.21x = 5,788.29 × 1,778.42
  4. Step 4: Simplify right side
    3,860.21x = 10,294,010.70
  5. Step 5: Solve for x
    x = 10,294,010.70/3,860.21
  6. Step 6: Final answer
    x = 2,666.70

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1.5x scale

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.