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Finding the Fourth Proportional to 5,456.76, 8,185.95 and 1,946.49

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Solution

The fourth proportional to 5,456.76, 8,185.95 and 1,946.49 is: 2,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.76 : 8,185.95 = 1,946.49 : x
  2. Step 2: Convert to fraction form
    5,456.76/8,185.95 = 1,946.49/x
  3. Step 3: Cross multiply
    5,456.76x = 8,185.95 × 1,946.49
  4. Step 4: Simplify right side
    5,456.76x = 15,933,869.82
  5. Step 5: Solve for x
    x = 15,933,869.82/5,456.76
  6. Step 6: Final answer
    x = 2,920.02

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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.