Home / 3,142.15-4,706-1,822.64

Finding the Fourth Proportional to 3,142.15, 4,706 and 1,822.64

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Solution

The fourth proportional to 3,142.15, 4,706 and 1,822.64 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.15 : 4,706 = 1,822.64 : x
  2. Step 2: Convert to fraction form
    3,142.15/4,706 = 1,822.64/x
  3. Step 3: Cross multiply
    3,142.15x = 4,706 × 1,822.64
  4. Step 4: Simplify right side
    3,142.15x = 8,577,343.84
  5. Step 5: Solve for x
    x = 8,577,343.84/3,142.15
  6. Step 6: Final answer
    x = 2,729.77

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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.