Home / 5,222.16-7,833.24-2,142

Finding the Fourth Proportional to 5,222.16, 7,833.24 and 2,142

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Solution

The fourth proportional to 5,222.16, 7,833.24 and 2,142 is: 3,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.16 : 7,833.24 = 2,142 : x
  2. Step 2: Convert to fraction form
    5,222.16/7,833.24 = 2,142/x
  3. Step 3: Cross multiply
    5,222.16x = 7,833.24 × 2,142
  4. Step 4: Simplify right side
    5,222.16x = 16,778,800.08
  5. Step 5: Solve for x
    x = 16,778,800.08/5,222.16
  6. Step 6: Final answer
    x = 3,213.00

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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.