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Finding the Fourth Proportional to 1,354.50, 1,857.97 and 1,342.80

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Solution

The fourth proportional to 1,354.50, 1,857.97 and 1,342.80 is: 1,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.50 : 1,857.97 = 1,342.80 : x
  2. Step 2: Convert to fraction form
    1,354.50/1,857.97 = 1,342.80/x
  3. Step 3: Cross multiply
    1,354.50x = 1,857.97 × 1,342.80
  4. Step 4: Simplify right side
    1,354.50x = 2,494,883.79
  5. Step 5: Solve for x
    x = 2,494,883.79/1,354.50
  6. Step 6: Final answer
    x = 1,841.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.