Home / 2,103.08-3,154.32-804.38

Finding the Fourth Proportional to 2,103.08, 3,154.32 and 804.38

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Solution

The fourth proportional to 2,103.08, 3,154.32 and 804.38 is: 1,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.08 : 3,154.32 = 804.38 : x
  2. Step 2: Convert to fraction form
    2,103.08/3,154.32 = 804.38/x
  3. Step 3: Cross multiply
    2,103.08x = 3,154.32 × 804.38
  4. Step 4: Simplify right side
    2,103.08x = 2,537,256.15
  5. Step 5: Solve for x
    x = 2,537,256.15/2,103.08
  6. Step 6: Final answer
    x = 1,206.45

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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.