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Finding the Fourth Proportional to 13,715.00, 18,926.60 and 7,747.84

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Solution

The fourth proportional to 13,715.00, 18,926.60 and 7,747.84 is: 10,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.00 : 18,926.60 = 7,747.84 : x
  2. Step 2: Convert to fraction form
    13,715.00/18,926.60 = 7,747.84/x
  3. Step 3: Cross multiply
    13,715.00x = 18,926.60 × 7,747.84
  4. Step 4: Simplify right side
    13,715.00x = 146,640,240.60
  5. Step 5: Solve for x
    x = 146,640,240.60/13,715.00
  6. Step 6: Final answer
    x = 10,691.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.