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Finding the Fourth Proportional to 15,202.04, 20,978.04 and 8,914

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Solution

The fourth proportional to 15,202.04, 20,978.04 and 8,914 is: 12,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.04 : 20,978.04 = 8,914 : x
  2. Step 2: Convert to fraction form
    15,202.04/20,978.04 = 8,914/x
  3. Step 3: Cross multiply
    15,202.04x = 20,978.04 × 8,914
  4. Step 4: Simplify right side
    15,202.04x = 186,998,248.56
  5. Step 5: Solve for x
    x = 186,998,248.56/15,202.04
  6. Step 6: Final answer
    x = 12,300.87

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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.