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Finding the Fourth Proportional to 2,175.87, 3,263.82 and 616.05

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Solution

The fourth proportional to 2,175.87, 3,263.82 and 616.05 is: 924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.87 : 3,263.82 = 616.05 : x
  2. Step 2: Convert to fraction form
    2,175.87/3,263.82 = 616.05/x
  3. Step 3: Cross multiply
    2,175.87x = 3,263.82 × 616.05
  4. Step 4: Simplify right side
    2,175.87x = 2,010,676.31
  5. Step 5: Solve for x
    x = 2,010,676.31/2,175.87
  6. Step 6: Final answer
    x = 924.08

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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.