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Finding the Fourth Proportional to 10,321.76, 15,482.64 and 3,747.94

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Solution

The fourth proportional to 10,321.76, 15,482.64 and 3,747.94 is: 5,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.76 : 15,482.64 = 3,747.94 : x
  2. Step 2: Convert to fraction form
    10,321.76/15,482.64 = 3,747.94/x
  3. Step 3: Cross multiply
    10,321.76x = 15,482.64 × 3,747.94
  4. Step 4: Simplify right side
    10,321.76x = 58,028,005.76
  5. Step 5: Solve for x
    x = 58,028,005.76/10,321.76
  6. Step 6: Final answer
    x = 5,621.91

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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.