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Finding the Fourth Proportional to 2,232.16, 3,080.16 and 1,287.78

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Solution

The fourth proportional to 2,232.16, 3,080.16 and 1,287.78 is: 1,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.16 : 3,080.16 = 1,287.78 : x
  2. Step 2: Convert to fraction form
    2,232.16/3,080.16 = 1,287.78/x
  3. Step 3: Cross multiply
    2,232.16x = 3,080.16 × 1,287.78
  4. Step 4: Simplify right side
    2,232.16x = 3,966,568.44
  5. Step 5: Solve for x
    x = 3,966,568.44/2,232.16
  6. Step 6: Final answer
    x = 1,777.01

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1.5x scale

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.