Home / 1,398.26-2,089.40-1,006.43

Finding the Fourth Proportional to 1,398.26, 2,089.40 and 1,006.43

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Solution

The fourth proportional to 1,398.26, 2,089.40 and 1,006.43 is: 1,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.26 : 2,089.40 = 1,006.43 : x
  2. Step 2: Convert to fraction form
    1,398.26/2,089.40 = 1,006.43/x
  3. Step 3: Cross multiply
    1,398.26x = 2,089.40 × 1,006.43
  4. Step 4: Simplify right side
    1,398.26x = 2,102,819.36
  5. Step 5: Solve for x
    x = 2,102,819.36/1,398.26
  6. Step 6: Final answer
    x = 1,503.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.