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Finding the Fourth Proportional to 6,811.84, 10,215.60 and 2,429.20

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Solution

The fourth proportional to 6,811.84, 10,215.60 and 2,429.20 is: 3,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.84 : 10,215.60 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    6,811.84/10,215.60 = 2,429.20/x
  3. Step 3: Cross multiply
    6,811.84x = 10,215.60 × 2,429.20
  4. Step 4: Simplify right side
    6,811.84x = 24,815,735.52
  5. Step 5: Solve for x
    x = 24,815,735.52/6,811.84
  6. Step 6: Final answer
    x = 3,643.03

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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.