Home / 2,829.84-4,242.24-1,098.08

Finding the Fourth Proportional to 2,829.84, 4,242.24 and 1,098.08

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Solution

The fourth proportional to 2,829.84, 4,242.24 and 1,098.08 is: 1,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.84 : 4,242.24 = 1,098.08 : x
  2. Step 2: Convert to fraction form
    2,829.84/4,242.24 = 1,098.08/x
  3. Step 3: Cross multiply
    2,829.84x = 4,242.24 × 1,098.08
  4. Step 4: Simplify right side
    2,829.84x = 4,658,318.90
  5. Step 5: Solve for x
    x = 4,658,318.90/2,829.84
  6. Step 6: Final answer
    x = 1,646.14

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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.