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Finding the Fourth Proportional to 10,914.72, 16,358.76 and 8,309.76

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Solution

The fourth proportional to 10,914.72, 16,358.76 and 8,309.76 is: 12,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.72 : 16,358.76 = 8,309.76 : x
  2. Step 2: Convert to fraction form
    10,914.72/16,358.76 = 8,309.76/x
  3. Step 3: Cross multiply
    10,914.72x = 16,358.76 × 8,309.76
  4. Step 4: Simplify right side
    10,914.72x = 135,937,369.50
  5. Step 5: Solve for x
    x = 135,937,369.50/10,914.72
  6. Step 6: Final answer
    x = 12,454.50

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1.5x scale

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.