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Finding the Fourth Proportional to 13,065, 19,600.76 and 3,831

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Solution

The fourth proportional to 13,065, 19,600.76 and 3,831 is: 5,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065 : 19,600.76 = 3,831 : x
  2. Step 2: Convert to fraction form
    13,065/19,600.76 = 3,831/x
  3. Step 3: Cross multiply
    13,065x = 19,600.76 × 3,831
  4. Step 4: Simplify right side
    13,065x = 75,090,492.41
  5. Step 5: Solve for x
    x = 75,090,492.41/13,065
  6. Step 6: Final answer
    x = 5,747.45

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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.