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Finding the Fourth Proportional to 2,894.82, 4,342.40 and 814.99

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Solution

The fourth proportional to 2,894.82, 4,342.40 and 814.99 is: 1,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.82 : 4,342.40 = 814.99 : x
  2. Step 2: Convert to fraction form
    2,894.82/4,342.40 = 814.99/x
  3. Step 3: Cross multiply
    2,894.82x = 4,342.40 × 814.99
  4. Step 4: Simplify right side
    2,894.82x = 3,539,012.58
  5. Step 5: Solve for x
    x = 3,539,012.58/2,894.82
  6. Step 6: Final answer
    x = 1,222.53

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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.