Home / 1,536.14-2,120.75-1,013.09

Finding the Fourth Proportional to 1,536.14, 2,120.75 and 1,013.09

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Solution

The fourth proportional to 1,536.14, 2,120.75 and 1,013.09 is: 1,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.14 : 2,120.75 = 1,013.09 : x
  2. Step 2: Convert to fraction form
    1,536.14/2,120.75 = 1,013.09/x
  3. Step 3: Cross multiply
    1,536.14x = 2,120.75 × 1,013.09
  4. Step 4: Simplify right side
    1,536.14x = 2,148,498.75
  5. Step 5: Solve for x
    x = 2,148,498.75/1,536.14
  6. Step 6: Final answer
    x = 1,398.63

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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.