Home / 2,103.14-3,154.38-804.32

Finding the Fourth Proportional to 2,103.14, 3,154.38 and 804.32

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Solution

The fourth proportional to 2,103.14, 3,154.38 and 804.32 is: 1,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.14 : 3,154.38 = 804.32 : x
  2. Step 2: Convert to fraction form
    2,103.14/3,154.38 = 804.32/x
  3. Step 3: Cross multiply
    2,103.14x = 3,154.38 × 804.32
  4. Step 4: Simplify right side
    2,103.14x = 2,537,130.92
  5. Step 5: Solve for x
    x = 2,537,130.92/2,103.14
  6. Step 6: Final answer
    x = 1,206.35

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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.