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Finding the Fourth Proportional to 2,781, 4,165.83 and 1,607.58

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Solution

The fourth proportional to 2,781, 4,165.83 and 1,607.58 is: 2,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781 : 4,165.83 = 1,607.58 : x
  2. Step 2: Convert to fraction form
    2,781/4,165.83 = 1,607.58/x
  3. Step 3: Cross multiply
    2,781x = 4,165.83 × 1,607.58
  4. Step 4: Simplify right side
    2,781x = 6,696,904.99
  5. Step 5: Solve for x
    x = 6,696,904.99/2,781
  6. Step 6: Final answer
    x = 2,408.09

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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.