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Finding the Fourth Proportional to 13,736, 20,603.60 and 6,340.56

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Solution

The fourth proportional to 13,736, 20,603.60 and 6,340.56 is: 9,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736 : 20,603.60 = 6,340.56 : x
  2. Step 2: Convert to fraction form
    13,736/20,603.60 = 6,340.56/x
  3. Step 3: Cross multiply
    13,736x = 20,603.60 × 6,340.56
  4. Step 4: Simplify right side
    13,736x = 130,638,362.02
  5. Step 5: Solve for x
    x = 130,638,362.02/13,736
  6. Step 6: Final answer
    x = 9,510.66

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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.