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Finding the Fourth Proportional to 10,423.76, 15,640.09 and 6,914.99

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Solution

The fourth proportional to 10,423.76, 15,640.09 and 6,914.99 is: 10,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.76 : 15,640.09 = 6,914.99 : x
  2. Step 2: Convert to fraction form
    10,423.76/15,640.09 = 6,914.99/x
  3. Step 3: Cross multiply
    10,423.76x = 15,640.09 × 6,914.99
  4. Step 4: Simplify right side
    10,423.76x = 108,151,087.76
  5. Step 5: Solve for x
    x = 108,151,087.76/10,423.76
  6. Step 6: Final answer
    x = 10,375.44

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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.