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Finding the Fourth Proportional to 3,168.20, 4,752.30 and 828.20

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Solution

The fourth proportional to 3,168.20, 4,752.30 and 828.20 is: 1,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.20 : 4,752.30 = 828.20 : x
  2. Step 2: Convert to fraction form
    3,168.20/4,752.30 = 828.20/x
  3. Step 3: Cross multiply
    3,168.20x = 4,752.30 × 828.20
  4. Step 4: Simplify right side
    3,168.20x = 3,935,854.86
  5. Step 5: Solve for x
    x = 3,935,854.86/3,168.20
  6. Step 6: Final answer
    x = 1,242.30

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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.