Home / 2,829.24-4,239.36-2,097

Finding the Fourth Proportional to 2,829.24, 4,239.36 and 2,097

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Solution

The fourth proportional to 2,829.24, 4,239.36 and 2,097 is: 3,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.24 : 4,239.36 = 2,097 : x
  2. Step 2: Convert to fraction form
    2,829.24/4,239.36 = 2,097/x
  3. Step 3: Cross multiply
    2,829.24x = 4,239.36 × 2,097
  4. Step 4: Simplify right side
    2,829.24x = 8,889,937.92
  5. Step 5: Solve for x
    x = 8,889,937.92/2,829.24
  6. Step 6: Final answer
    x = 3,142.16

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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.