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Finding the Fourth Proportional to 2,104.47, 3,156.66 and 544.49

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Solution

The fourth proportional to 2,104.47, 3,156.66 and 544.49 is: 816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.47 : 3,156.66 = 544.49 : x
  2. Step 2: Convert to fraction form
    2,104.47/3,156.66 = 544.49/x
  3. Step 3: Cross multiply
    2,104.47x = 3,156.66 × 544.49
  4. Step 4: Simplify right side
    2,104.47x = 1,718,754.02
  5. Step 5: Solve for x
    x = 1,718,754.02/2,104.47
  6. Step 6: Final answer
    x = 816.72

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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.