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Finding the Fourth Proportional to 10,969, 16,455.21 and 3,571.71

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Solution

The fourth proportional to 10,969, 16,455.21 and 3,571.71 is: 5,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969 : 16,455.21 = 3,571.71 : x
  2. Step 2: Convert to fraction form
    10,969/16,455.21 = 3,571.71/x
  3. Step 3: Cross multiply
    10,969x = 16,455.21 × 3,571.71
  4. Step 4: Simplify right side
    10,969x = 58,773,238.11
  5. Step 5: Solve for x
    x = 58,773,238.11/10,969
  6. Step 6: Final answer
    x = 5,358.12

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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.