Home / 1,516.64-2,274.12-822.80

Finding the Fourth Proportional to 1,516.64, 2,274.12 and 822.80

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Solution

The fourth proportional to 1,516.64, 2,274.12 and 822.80 is: 1,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.64 : 2,274.12 = 822.80 : x
  2. Step 2: Convert to fraction form
    1,516.64/2,274.12 = 822.80/x
  3. Step 3: Cross multiply
    1,516.64x = 2,274.12 × 822.80
  4. Step 4: Simplify right side
    1,516.64x = 1,871,145.94
  5. Step 5: Solve for x
    x = 1,871,145.94/1,516.64
  6. Step 6: Final answer
    x = 1,233.74

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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.