Home / 1,213.94-1,829.38-1,098.48

Finding the Fourth Proportional to 1,213.94, 1,829.38 and 1,098.48

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Solution

The fourth proportional to 1,213.94, 1,829.38 and 1,098.48 is: 1,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.94 : 1,829.38 = 1,098.48 : x
  2. Step 2: Convert to fraction form
    1,213.94/1,829.38 = 1,098.48/x
  3. Step 3: Cross multiply
    1,213.94x = 1,829.38 × 1,098.48
  4. Step 4: Simplify right side
    1,213.94x = 2,009,537.34
  5. Step 5: Solve for x
    x = 2,009,537.34/1,213.94
  6. Step 6: Final answer
    x = 1,655.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.