Home / 1,384.90-2,080.23-1,098.34

Finding the Fourth Proportional to 1,384.90, 2,080.23 and 1,098.34

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Solution

The fourth proportional to 1,384.90, 2,080.23 and 1,098.34 is: 1,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.90 : 2,080.23 = 1,098.34 : x
  2. Step 2: Convert to fraction form
    1,384.90/2,080.23 = 1,098.34/x
  3. Step 3: Cross multiply
    1,384.90x = 2,080.23 × 1,098.34
  4. Step 4: Simplify right side
    1,384.90x = 2,284,799.82
  5. Step 5: Solve for x
    x = 2,284,799.82/1,384.90
  6. Step 6: Final answer
    x = 1,649.79

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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.