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Finding the Fourth Proportional to 15,147, 22,725.13 and 7,756.69

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Solution

The fourth proportional to 15,147, 22,725.13 and 7,756.69 is: 11,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 22,725.13 = 7,756.69 : x
  2. Step 2: Convert to fraction form
    15,147/22,725.13 = 7,756.69/x
  3. Step 3: Cross multiply
    15,147x = 22,725.13 × 7,756.69
  4. Step 4: Simplify right side
    15,147x = 176,271,788.62
  5. Step 5: Solve for x
    x = 176,271,788.62/15,147
  6. Step 6: Final answer
    x = 11,637.41

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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.