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Finding the Fourth Proportional to 1,914.98, 2,870.93 and 1,761.21

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Solution

The fourth proportional to 1,914.98, 2,870.93 and 1,761.21 is: 2,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.98 : 2,870.93 = 1,761.21 : x
  2. Step 2: Convert to fraction form
    1,914.98/2,870.93 = 1,761.21/x
  3. Step 3: Cross multiply
    1,914.98x = 2,870.93 × 1,761.21
  4. Step 4: Simplify right side
    1,914.98x = 5,056,310.63
  5. Step 5: Solve for x
    x = 5,056,310.63/1,914.98
  6. Step 6: Final answer
    x = 2,640.40

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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.