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Finding the Fourth Proportional to 15,202, 20,978.76 and 8,578

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Solution

The fourth proportional to 15,202, 20,978.76 and 8,578 is: 11,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202 : 20,978.76 = 8,578 : x
  2. Step 2: Convert to fraction form
    15,202/20,978.76 = 8,578/x
  3. Step 3: Cross multiply
    15,202x = 20,978.76 × 8,578
  4. Step 4: Simplify right side
    15,202x = 179,955,803.28
  5. Step 5: Solve for x
    x = 179,955,803.28/15,202
  6. Step 6: Final answer
    x = 11,837.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.