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Finding the Fourth Proportional to 1,891.52, 2,829.68 and 1,344

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Solution

The fourth proportional to 1,891.52, 2,829.68 and 1,344 is: 2,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.52 : 2,829.68 = 1,344 : x
  2. Step 2: Convert to fraction form
    1,891.52/2,829.68 = 1,344/x
  3. Step 3: Cross multiply
    1,891.52x = 2,829.68 × 1,344
  4. Step 4: Simplify right side
    1,891.52x = 3,803,089.92
  5. Step 5: Solve for x
    x = 3,803,089.92/1,891.52
  6. Step 6: Final answer
    x = 2,010.60

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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.