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Finding the Fourth Proportional to 13,537, 20,305.50 and 5,334.76

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Solution

The fourth proportional to 13,537, 20,305.50 and 5,334.76 is: 8,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537 : 20,305.50 = 5,334.76 : x
  2. Step 2: Convert to fraction form
    13,537/20,305.50 = 5,334.76/x
  3. Step 3: Cross multiply
    13,537x = 20,305.50 × 5,334.76
  4. Step 4: Simplify right side
    13,537x = 108,324,969.18
  5. Step 5: Solve for x
    x = 108,324,969.18/13,537
  6. Step 6: Final answer
    x = 8,002.14

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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.