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Finding the Fourth Proportional to 6,669.92, 9,989.84 and 3,209.76

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Solution

The fourth proportional to 6,669.92, 9,989.84 and 3,209.76 is: 4,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.92 : 9,989.84 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    6,669.92/9,989.84 = 3,209.76/x
  3. Step 3: Cross multiply
    6,669.92x = 9,989.84 × 3,209.76
  4. Step 4: Simplify right side
    6,669.92x = 32,064,988.84
  5. Step 5: Solve for x
    x = 32,064,988.84/6,669.92
  6. Step 6: Final answer
    x = 4,807.40

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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.