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Finding the Fourth Proportional to 2,525.88, 3,805.30 and 1,980.50

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Solution

The fourth proportional to 2,525.88, 3,805.30 and 1,980.50 is: 2,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.88 : 3,805.30 = 1,980.50 : x
  2. Step 2: Convert to fraction form
    2,525.88/3,805.30 = 1,980.50/x
  3. Step 3: Cross multiply
    2,525.88x = 3,805.30 × 1,980.50
  4. Step 4: Simplify right side
    2,525.88x = 7,536,377.62
  5. Step 5: Solve for x
    x = 7,536,377.62/2,525.88
  6. Step 6: Final answer
    x = 2,983.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.