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Finding the Fourth Proportional to 2,657.55, 3,986.53 and 808.82

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Solution

The fourth proportional to 2,657.55, 3,986.53 and 808.82 is: 1,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.55 : 3,986.53 = 808.82 : x
  2. Step 2: Convert to fraction form
    2,657.55/3,986.53 = 808.82/x
  3. Step 3: Cross multiply
    2,657.55x = 3,986.53 × 808.82
  4. Step 4: Simplify right side
    2,657.55x = 3,224,363.24
  5. Step 5: Solve for x
    x = 3,224,363.24/2,657.55
  6. Step 6: Final answer
    x = 1,213.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.