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Finding the Fourth Proportional to 6,628.80, 9,964.80 and 4,694.40

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Solution

The fourth proportional to 6,628.80, 9,964.80 and 4,694.40 is: 7,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.80 : 9,964.80 = 4,694.40 : x
  2. Step 2: Convert to fraction form
    6,628.80/9,964.80 = 4,694.40/x
  3. Step 3: Cross multiply
    6,628.80x = 9,964.80 × 4,694.40
  4. Step 4: Simplify right side
    6,628.80x = 46,778,757.12
  5. Step 5: Solve for x
    x = 46,778,757.12/6,628.80
  6. Step 6: Final answer
    x = 7,056.90

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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.