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Finding the Fourth Proportional to 3,612.99, 5,420.17 and 1,147.15

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Solution

The fourth proportional to 3,612.99, 5,420.17 and 1,147.15 is: 1,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.99 : 5,420.17 = 1,147.15 : x
  2. Step 2: Convert to fraction form
    3,612.99/5,420.17 = 1,147.15/x
  3. Step 3: Cross multiply
    3,612.99x = 5,420.17 × 1,147.15
  4. Step 4: Simplify right side
    3,612.99x = 6,217,748.02
  5. Step 5: Solve for x
    x = 6,217,748.02/3,612.99
  6. Step 6: Final answer
    x = 1,720.94

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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.