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Finding the Fourth Proportional to 19,264, 28,882.72 and 7,578.56

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Solution

The fourth proportional to 19,264, 28,882.72 and 7,578.56 is: 11,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,264 : 28,882.72 = 7,578.56 : x
  2. Step 2: Convert to fraction form
    19,264/28,882.72 = 7,578.56/x
  3. Step 3: Cross multiply
    19,264x = 28,882.72 × 7,578.56
  4. Step 4: Simplify right side
    19,264x = 218,889,426.48
  5. Step 5: Solve for x
    x = 218,889,426.48/19,264
  6. Step 6: Final answer
    x = 11,362.62

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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.