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Finding the Fourth Proportional to 3,445.84, 5,168.84 and 3,178.36

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Solution

The fourth proportional to 3,445.84, 5,168.84 and 3,178.36 is: 4,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.84 : 5,168.84 = 3,178.36 : x
  2. Step 2: Convert to fraction form
    3,445.84/5,168.84 = 3,178.36/x
  3. Step 3: Cross multiply
    3,445.84x = 5,168.84 × 3,178.36
  4. Step 4: Simplify right side
    3,445.84x = 16,428,434.30
  5. Step 5: Solve for x
    x = 16,428,434.30/3,445.84
  6. Step 6: Final answer
    x = 4,767.61

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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.