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Finding the Fourth Proportional to 9,410, 14,120.76 and 3,938

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Solution

The fourth proportional to 9,410, 14,120.76 and 3,938 is: 5,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410 : 14,120.76 = 3,938 : x
  2. Step 2: Convert to fraction form
    9,410/14,120.76 = 3,938/x
  3. Step 3: Cross multiply
    9,410x = 14,120.76 × 3,938
  4. Step 4: Simplify right side
    9,410x = 55,607,552.88
  5. Step 5: Solve for x
    x = 55,607,552.88/9,410
  6. Step 6: Final answer
    x = 5,909.41

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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.