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Finding the Fourth Proportional to 4,192, 6,287.76 and 1,270.24

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Solution

The fourth proportional to 4,192, 6,287.76 and 1,270.24 is: 1,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192 : 6,287.76 = 1,270.24 : x
  2. Step 2: Convert to fraction form
    4,192/6,287.76 = 1,270.24/x
  3. Step 3: Cross multiply
    4,192x = 6,287.76 × 1,270.24
  4. Step 4: Simplify right side
    4,192x = 7,986,964.26
  5. Step 5: Solve for x
    x = 7,986,964.26/4,192
  6. Step 6: Final answer
    x = 1,905.29

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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.