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Finding the Fourth Proportional to 6,832.80, 9,429.12 and 4,039.20

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Solution

The fourth proportional to 6,832.80, 9,429.12 and 4,039.20 is: 5,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.80 : 9,429.12 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    6,832.80/9,429.12 = 4,039.20/x
  3. Step 3: Cross multiply
    6,832.80x = 9,429.12 × 4,039.20
  4. Step 4: Simplify right side
    6,832.80x = 38,086,101.50
  5. Step 5: Solve for x
    x = 38,086,101.50/6,832.80
  6. Step 6: Final answer
    x = 5,574.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.