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Finding the Fourth Proportional to 2,752, 4,128.60 and 1,213

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Solution

The fourth proportional to 2,752, 4,128.60 and 1,213 is: 1,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752 : 4,128.60 = 1,213 : x
  2. Step 2: Convert to fraction form
    2,752/4,128.60 = 1,213/x
  3. Step 3: Cross multiply
    2,752x = 4,128.60 × 1,213
  4. Step 4: Simplify right side
    2,752x = 5,007,991.80
  5. Step 5: Solve for x
    x = 5,007,991.80/2,752
  6. Step 6: Final answer
    x = 1,819.76

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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.