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Finding the Fourth Proportional to 1,907.88, 2,863.38 and 813.48

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Solution

The fourth proportional to 1,907.88, 2,863.38 and 813.48 is: 1,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.88 : 2,863.38 = 813.48 : x
  2. Step 2: Convert to fraction form
    1,907.88/2,863.38 = 813.48/x
  3. Step 3: Cross multiply
    1,907.88x = 2,863.38 × 813.48
  4. Step 4: Simplify right side
    1,907.88x = 2,329,302.36
  5. Step 5: Solve for x
    x = 2,329,302.36/1,907.88
  6. Step 6: Final answer
    x = 1,220.89

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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.