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Finding the Fourth Proportional to 2,046.17, 3,068.76 and 949.48

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Solution

The fourth proportional to 2,046.17, 3,068.76 and 949.48 is: 1,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.17 : 3,068.76 = 949.48 : x
  2. Step 2: Convert to fraction form
    2,046.17/3,068.76 = 949.48/x
  3. Step 3: Cross multiply
    2,046.17x = 3,068.76 × 949.48
  4. Step 4: Simplify right side
    2,046.17x = 2,913,726.24
  5. Step 5: Solve for x
    x = 2,913,726.24/2,046.17
  6. Step 6: Final answer
    x = 1,423.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.