Home / 1,540.14-2,310.57-1,053.42

Finding the Fourth Proportional to 1,540.14, 2,310.57 and 1,053.42

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Solution

The fourth proportional to 1,540.14, 2,310.57 and 1,053.42 is: 1,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.14 : 2,310.57 = 1,053.42 : x
  2. Step 2: Convert to fraction form
    1,540.14/2,310.57 = 1,053.42/x
  3. Step 3: Cross multiply
    1,540.14x = 2,310.57 × 1,053.42
  4. Step 4: Simplify right side
    1,540.14x = 2,434,000.65
  5. Step 5: Solve for x
    x = 2,434,000.65/1,540.14
  6. Step 6: Final answer
    x = 1,580.38

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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.