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Finding the Fourth Proportional to 13,915, 20,872.50 and 5,707

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Solution

The fourth proportional to 13,915, 20,872.50 and 5,707 is: 8,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915 : 20,872.50 = 5,707 : x
  2. Step 2: Convert to fraction form
    13,915/20,872.50 = 5,707/x
  3. Step 3: Cross multiply
    13,915x = 20,872.50 × 5,707
  4. Step 4: Simplify right side
    13,915x = 119,119,357.50
  5. Step 5: Solve for x
    x = 119,119,357.50/13,915
  6. Step 6: Final answer
    x = 8,560.50

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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.