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Finding the Fourth Proportional to 12,672.78, 19,009.20 and 7,475

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Solution

The fourth proportional to 12,672.78, 19,009.20 and 7,475 is: 11,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.78 : 19,009.20 = 7,475 : x
  2. Step 2: Convert to fraction form
    12,672.78/19,009.20 = 7,475/x
  3. Step 3: Cross multiply
    12,672.78x = 19,009.20 × 7,475
  4. Step 4: Simplify right side
    12,672.78x = 142,093,770
  5. Step 5: Solve for x
    x = 142,093,770/12,672.78
  6. Step 6: Final answer
    x = 11,212.52

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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.