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Finding the Fourth Proportional to 3,184, 4,774.26 and 1,102.84

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Solution

The fourth proportional to 3,184, 4,774.26 and 1,102.84 is: 1,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,774.26 = 1,102.84 : x
  2. Step 2: Convert to fraction form
    3,184/4,774.26 = 1,102.84/x
  3. Step 3: Cross multiply
    3,184x = 4,774.26 × 1,102.84
  4. Step 4: Simplify right side
    3,184x = 5,265,244.90
  5. Step 5: Solve for x
    x = 5,265,244.90/3,184
  6. Step 6: Final answer
    x = 1,653.66

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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.