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Finding the Fourth Proportional to 2,045.64, 3,068.46 and 949.41

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Solution

The fourth proportional to 2,045.64, 3,068.46 and 949.41 is: 1,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.64 : 3,068.46 = 949.41 : x
  2. Step 2: Convert to fraction form
    2,045.64/3,068.46 = 949.41/x
  3. Step 3: Cross multiply
    2,045.64x = 3,068.46 × 949.41
  4. Step 4: Simplify right side
    2,045.64x = 2,913,215.10
  5. Step 5: Solve for x
    x = 2,913,215.10/2,045.64
  6. Step 6: Final answer
    x = 1,424.11

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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.