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Finding the Fourth Proportional to 12,592, 18,880 and 6,019.84

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Solution

The fourth proportional to 12,592, 18,880 and 6,019.84 is: 9,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592 : 18,880 = 6,019.84 : x
  2. Step 2: Convert to fraction form
    12,592/18,880 = 6,019.84/x
  3. Step 3: Cross multiply
    12,592x = 18,880 × 6,019.84
  4. Step 4: Simplify right side
    12,592x = 113,654,579.20
  5. Step 5: Solve for x
    x = 113,654,579.20/12,592
  6. Step 6: Final answer
    x = 9,025.94

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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.