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Finding the Fourth Proportional to 10,505.74, 15,758.78 and 3,928.34

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Solution

The fourth proportional to 10,505.74, 15,758.78 and 3,928.34 is: 5,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.74 : 15,758.78 = 3,928.34 : x
  2. Step 2: Convert to fraction form
    10,505.74/15,758.78 = 3,928.34/x
  3. Step 3: Cross multiply
    10,505.74x = 15,758.78 × 3,928.34
  4. Step 4: Simplify right side
    10,505.74x = 61,905,845.83
  5. Step 5: Solve for x
    x = 61,905,845.83/10,505.74
  6. Step 6: Final answer
    x = 5,892.57

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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.