Home / 1,209.14-1,664.40-1,053.62

Finding the Fourth Proportional to 1,209.14, 1,664.40 and 1,053.62

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Solution

The fourth proportional to 1,209.14, 1,664.40 and 1,053.62 is: 1,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.14 : 1,664.40 = 1,053.62 : x
  2. Step 2: Convert to fraction form
    1,209.14/1,664.40 = 1,053.62/x
  3. Step 3: Cross multiply
    1,209.14x = 1,664.40 × 1,053.62
  4. Step 4: Simplify right side
    1,209.14x = 1,753,645.13
  5. Step 5: Solve for x
    x = 1,753,645.13/1,209.14
  6. Step 6: Final answer
    x = 1,450.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.