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Finding the Fourth Proportional to 1,791.84, 2,685.30 and 1,578

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Solution

The fourth proportional to 1,791.84, 2,685.30 and 1,578 is: 2,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.84 : 2,685.30 = 1,578 : x
  2. Step 2: Convert to fraction form
    1,791.84/2,685.30 = 1,578/x
  3. Step 3: Cross multiply
    1,791.84x = 2,685.30 × 1,578
  4. Step 4: Simplify right side
    1,791.84x = 4,237,403.40
  5. Step 5: Solve for x
    x = 4,237,403.40/1,791.84
  6. Step 6: Final answer
    x = 2,364.83

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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.