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Finding the Fourth Proportional to 6,646, 9,963.12 and 2,483.20

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Solution

The fourth proportional to 6,646, 9,963.12 and 2,483.20 is: 3,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646 : 9,963.12 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    6,646/9,963.12 = 2,483.20/x
  3. Step 3: Cross multiply
    6,646x = 9,963.12 × 2,483.20
  4. Step 4: Simplify right side
    6,646x = 24,740,419.58
  5. Step 5: Solve for x
    x = 24,740,419.58/6,646
  6. Step 6: Final answer
    x = 3,722.60

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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.