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Finding the Fourth Proportional to 3,612.72, 5,412.24 and 3,120.24

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Solution

The fourth proportional to 3,612.72, 5,412.24 and 3,120.24 is: 4,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.72 : 5,412.24 = 3,120.24 : x
  2. Step 2: Convert to fraction form
    3,612.72/5,412.24 = 3,120.24/x
  3. Step 3: Cross multiply
    3,612.72x = 5,412.24 × 3,120.24
  4. Step 4: Simplify right side
    3,612.72x = 16,887,487.74
  5. Step 5: Solve for x
    x = 16,887,487.74/3,612.72
  6. Step 6: Final answer
    x = 4,674.45

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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.