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Finding the Fourth Proportional to 2,103.47, 3,155.66 and 804.94

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Solution

The fourth proportional to 2,103.47, 3,155.66 and 804.94 is: 1,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.47 : 3,155.66 = 804.94 : x
  2. Step 2: Convert to fraction form
    2,103.47/3,155.66 = 804.94/x
  3. Step 3: Cross multiply
    2,103.47x = 3,155.66 × 804.94
  4. Step 4: Simplify right side
    2,103.47x = 2,540,108.07
  5. Step 5: Solve for x
    x = 2,540,108.07/2,103.47
  6. Step 6: Final answer
    x = 1,207.58

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1.5x scale

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.