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Finding the Fourth Proportional to 10,915, 16,372.50 and 2,707

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Solution

The fourth proportional to 10,915, 16,372.50 and 2,707 is: 4,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915 : 16,372.50 = 2,707 : x
  2. Step 2: Convert to fraction form
    10,915/16,372.50 = 2,707/x
  3. Step 3: Cross multiply
    10,915x = 16,372.50 × 2,707
  4. Step 4: Simplify right side
    10,915x = 44,320,357.50
  5. Step 5: Solve for x
    x = 44,320,357.50/10,915
  6. Step 6: Final answer
    x = 4,060.50

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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.