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Finding the Fourth Proportional to 6,977.28, 9,630.30 and 3,994.83

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Solution

The fourth proportional to 6,977.28, 9,630.30 and 3,994.83 is: 5,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.28 : 9,630.30 = 3,994.83 : x
  2. Step 2: Convert to fraction form
    6,977.28/9,630.30 = 3,994.83/x
  3. Step 3: Cross multiply
    6,977.28x = 9,630.30 × 3,994.83
  4. Step 4: Simplify right side
    6,977.28x = 38,471,411.35
  5. Step 5: Solve for x
    x = 38,471,411.35/6,977.28
  6. Step 6: Final answer
    x = 5,513.81

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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.