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Finding the Fourth Proportional to 5,872.98, 8,810.38 and 1,977.08

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Solution

The fourth proportional to 5,872.98, 8,810.38 and 1,977.08 is: 2,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.98 : 8,810.38 = 1,977.08 : x
  2. Step 2: Convert to fraction form
    5,872.98/8,810.38 = 1,977.08/x
  3. Step 3: Cross multiply
    5,872.98x = 8,810.38 × 1,977.08
  4. Step 4: Simplify right side
    5,872.98x = 17,418,816.21
  5. Step 5: Solve for x
    x = 17,418,816.21/5,872.98
  6. Step 6: Final answer
    x = 2,965.92

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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.