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Finding the Fourth Proportional to 2,690.66, 4,035.20 and 1,046.81

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Solution

The fourth proportional to 2,690.66, 4,035.20 and 1,046.81 is: 1,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.66 : 4,035.20 = 1,046.81 : x
  2. Step 2: Convert to fraction form
    2,690.66/4,035.20 = 1,046.81/x
  3. Step 3: Cross multiply
    2,690.66x = 4,035.20 × 1,046.81
  4. Step 4: Simplify right side
    2,690.66x = 4,224,087.94
  5. Step 5: Solve for x
    x = 4,224,087.94/2,690.66
  6. Step 6: Final answer
    x = 1,569.91

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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.