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Finding the Fourth Proportional to 3,430.80, 5,147.40 and 1,484.40

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Solution

The fourth proportional to 3,430.80, 5,147.40 and 1,484.40 is: 2,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.80 : 5,147.40 = 1,484.40 : x
  2. Step 2: Convert to fraction form
    3,430.80/5,147.40 = 1,484.40/x
  3. Step 3: Cross multiply
    3,430.80x = 5,147.40 × 1,484.40
  4. Step 4: Simplify right side
    3,430.80x = 7,640,800.56
  5. Step 5: Solve for x
    x = 7,640,800.56/3,430.80
  6. Step 6: Final answer
    x = 2,227.12

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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.