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Finding the Fourth Proportional to 12,287, 18,430.50 and 4,079

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Solution

The fourth proportional to 12,287, 18,430.50 and 4,079 is: 6,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287 : 18,430.50 = 4,079 : x
  2. Step 2: Convert to fraction form
    12,287/18,430.50 = 4,079/x
  3. Step 3: Cross multiply
    12,287x = 18,430.50 × 4,079
  4. Step 4: Simplify right side
    12,287x = 75,178,009.50
  5. Step 5: Solve for x
    x = 75,178,009.50/12,287
  6. Step 6: Final answer
    x = 6,118.50

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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.