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Finding the Fourth Proportional to 6,422, 9,636.12 and 2,957.36

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Solution

The fourth proportional to 6,422, 9,636.12 and 2,957.36 is: 4,437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422 : 9,636.12 = 2,957.36 : x
  2. Step 2: Convert to fraction form
    6,422/9,636.12 = 2,957.36/x
  3. Step 3: Cross multiply
    6,422x = 9,636.12 × 2,957.36
  4. Step 4: Simplify right side
    6,422x = 28,497,475.84
  5. Step 5: Solve for x
    x = 28,497,475.84/6,422
  6. Step 6: Final answer
    x = 4,437.48

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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.