Home / 2,578.10-3,857.58-1,538.68

Finding the Fourth Proportional to 2,578.10, 3,857.58 and 1,538.68

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Solution

The fourth proportional to 2,578.10, 3,857.58 and 1,538.68 is: 2,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.10 : 3,857.58 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    2,578.10/3,857.58 = 1,538.68/x
  3. Step 3: Cross multiply
    2,578.10x = 3,857.58 × 1,538.68
  4. Step 4: Simplify right side
    2,578.10x = 5,935,581.19
  5. Step 5: Solve for x
    x = 5,935,581.19/2,578.10
  6. Step 6: Final answer
    x = 2,302.31

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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.