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Finding the Fourth Proportional to 13,774, 20,643.72 and 7,112.56

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Solution

The fourth proportional to 13,774, 20,643.72 and 7,112.56 is: 10,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 20,643.72 = 7,112.56 : x
  2. Step 2: Convert to fraction form
    13,774/20,643.72 = 7,112.56/x
  3. Step 3: Cross multiply
    13,774x = 20,643.72 × 7,112.56
  4. Step 4: Simplify right side
    13,774x = 146,829,697.12
  5. Step 5: Solve for x
    x = 146,829,697.12/13,774
  6. Step 6: Final answer
    x = 10,659.92

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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.