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Finding the Fourth Proportional to 2,232, 3,080.21 and 1,287.81

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Solution

The fourth proportional to 2,232, 3,080.21 and 1,287.81 is: 1,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232 : 3,080.21 = 1,287.81 : x
  2. Step 2: Convert to fraction form
    2,232/3,080.21 = 1,287.81/x
  3. Step 3: Cross multiply
    2,232x = 3,080.21 × 1,287.81
  4. Step 4: Simplify right side
    2,232x = 3,966,718.80
  5. Step 5: Solve for x
    x = 3,966,718.80/2,232
  6. Step 6: Final answer
    x = 1,777.20

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