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Finding the Fourth Proportional to 40,569, 60,853.50 and 12,867

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Solution

The fourth proportional to 40,569, 60,853.50 and 12,867 is: 19,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569 : 60,853.50 = 12,867 : x
  2. Step 2: Convert to fraction form
    40,569/60,853.50 = 12,867/x
  3. Step 3: Cross multiply
    40,569x = 60,853.50 × 12,867
  4. Step 4: Simplify right side
    40,569x = 783,001,984.50
  5. Step 5: Solve for x
    x = 783,001,984.50/40,569
  6. Step 6: Final answer
    x = 19,300.50

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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.