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Finding the Fourth Proportional to 6,645.80, 9,956.40 and 3,873.80

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Solution

The fourth proportional to 6,645.80, 9,956.40 and 3,873.80 is: 5,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.80 : 9,956.40 = 3,873.80 : x
  2. Step 2: Convert to fraction form
    6,645.80/9,956.40 = 3,873.80/x
  3. Step 3: Cross multiply
    6,645.80x = 9,956.40 × 3,873.80
  4. Step 4: Simplify right side
    6,645.80x = 38,569,102.32
  5. Step 5: Solve for x
    x = 38,569,102.32/6,645.80
  6. Step 6: Final answer
    x = 5,803.53

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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.