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Finding the Fourth Proportional to 12,751.44, 19,130.88 and 5,352

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Solution

The fourth proportional to 12,751.44, 19,130.88 and 5,352 is: 8,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.44 : 19,130.88 = 5,352 : x
  2. Step 2: Convert to fraction form
    12,751.44/19,130.88 = 5,352/x
  3. Step 3: Cross multiply
    12,751.44x = 19,130.88 × 5,352
  4. Step 4: Simplify right side
    12,751.44x = 102,388,469.76
  5. Step 5: Solve for x
    x = 102,388,469.76/12,751.44
  6. Step 6: Final answer
    x = 8,029.56

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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.