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Finding the Fourth Proportional to 2,102.72, 3,154.12 and 804.28

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Solution

The fourth proportional to 2,102.72, 3,154.12 and 804.28 is: 1,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.72 : 3,154.12 = 804.28 : x
  2. Step 2: Convert to fraction form
    2,102.72/3,154.12 = 804.28/x
  3. Step 3: Cross multiply
    2,102.72x = 3,154.12 × 804.28
  4. Step 4: Simplify right side
    2,102.72x = 2,536,795.63
  5. Step 5: Solve for x
    x = 2,536,795.63/2,102.72
  6. Step 6: Final answer
    x = 1,206.44

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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.