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Finding the Fourth Proportional to 3,472.50, 5,209.47 and 1,420.50

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Solution

The fourth proportional to 3,472.50, 5,209.47 and 1,420.50 is: 2,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.50 : 5,209.47 = 1,420.50 : x
  2. Step 2: Convert to fraction form
    3,472.50/5,209.47 = 1,420.50/x
  3. Step 3: Cross multiply
    3,472.50x = 5,209.47 × 1,420.50
  4. Step 4: Simplify right side
    3,472.50x = 7,400,052.14
  5. Step 5: Solve for x
    x = 7,400,052.14/3,472.50
  6. Step 6: Final answer
    x = 2,131.04

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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.