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Finding the Fourth Proportional to 1,805.65, 2,702.80 and 1,763.53

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Solution

The fourth proportional to 1,805.65, 2,702.80 and 1,763.53 is: 2,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.65 : 2,702.80 = 1,763.53 : x
  2. Step 2: Convert to fraction form
    1,805.65/2,702.80 = 1,763.53/x
  3. Step 3: Cross multiply
    1,805.65x = 2,702.80 × 1,763.53
  4. Step 4: Simplify right side
    1,805.65x = 4,766,457.72
  5. Step 5: Solve for x
    x = 4,766,457.72/1,805.65
  6. Step 6: Final answer
    x = 2,639.75

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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.