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Finding the Fourth Proportional to 3,420.50, 5,132.70 and 1,860.50

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Solution

The fourth proportional to 3,420.50, 5,132.70 and 1,860.50 is: 2,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.50 : 5,132.70 = 1,860.50 : x
  2. Step 2: Convert to fraction form
    3,420.50/5,132.70 = 1,860.50/x
  3. Step 3: Cross multiply
    3,420.50x = 5,132.70 × 1,860.50
  4. Step 4: Simplify right side
    3,420.50x = 9,549,388.35
  5. Step 5: Solve for x
    x = 9,549,388.35/3,420.50
  6. Step 6: Final answer
    x = 2,791.81

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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.