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Finding the Fourth Proportional to 6,645.30, 9,948.64 and 3,863.49

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Solution

The fourth proportional to 6,645.30, 9,948.64 and 3,863.49 is: 5,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.30 : 9,948.64 = 3,863.49 : x
  2. Step 2: Convert to fraction form
    6,645.30/9,948.64 = 3,863.49/x
  3. Step 3: Cross multiply
    6,645.30x = 9,948.64 × 3,863.49
  4. Step 4: Simplify right side
    6,645.30x = 38,436,471.15
  5. Step 5: Solve for x
    x = 38,436,471.15/6,645.30
  6. Step 6: Final answer
    x = 5,784.01

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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.