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Finding the Fourth Proportional to 3,461.76, 5,195.36 and 1,272

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Solution

The fourth proportional to 3,461.76, 5,195.36 and 1,272 is: 1,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.76 : 5,195.36 = 1,272 : x
  2. Step 2: Convert to fraction form
    3,461.76/5,195.36 = 1,272/x
  3. Step 3: Cross multiply
    3,461.76x = 5,195.36 × 1,272
  4. Step 4: Simplify right side
    3,461.76x = 6,608,497.92
  5. Step 5: Solve for x
    x = 6,608,497.92/3,461.76
  6. Step 6: Final answer
    x = 1,909.00

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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.