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Finding the Fourth Proportional to 1,961.80, 2,705.88 and 1,262.50

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Solution

The fourth proportional to 1,961.80, 2,705.88 and 1,262.50 is: 1,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.80 : 2,705.88 = 1,262.50 : x
  2. Step 2: Convert to fraction form
    1,961.80/2,705.88 = 1,262.50/x
  3. Step 3: Cross multiply
    1,961.80x = 2,705.88 × 1,262.50
  4. Step 4: Simplify right side
    1,961.80x = 3,416,173.50
  5. Step 5: Solve for x
    x = 3,416,173.50/1,961.80
  6. Step 6: Final answer
    x = 1,741.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.