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Finding the Fourth Proportional to 3,169.32, 4,752 and 1,219.20

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Solution

The fourth proportional to 3,169.32, 4,752 and 1,219.20 is: 1,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.32 : 4,752 = 1,219.20 : x
  2. Step 2: Convert to fraction form
    3,169.32/4,752 = 1,219.20/x
  3. Step 3: Cross multiply
    3,169.32x = 4,752 × 1,219.20
  4. Step 4: Simplify right side
    3,169.32x = 5,793,638.40
  5. Step 5: Solve for x
    x = 5,793,638.40/3,169.32
  6. Step 6: Final answer
    x = 1,828.04

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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.