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Finding the Fourth Proportional to 5,872.72, 8,810.38 and 1,977

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Solution

The fourth proportional to 5,872.72, 8,810.38 and 1,977 is: 2,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.72 : 8,810.38 = 1,977 : x
  2. Step 2: Convert to fraction form
    5,872.72/8,810.38 = 1,977/x
  3. Step 3: Cross multiply
    5,872.72x = 8,810.38 × 1,977
  4. Step 4: Simplify right side
    5,872.72x = 17,418,121.26
  5. Step 5: Solve for x
    x = 17,418,121.26/5,872.72
  6. Step 6: Final answer
    x = 2,965.94

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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.