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Finding the Fourth Proportional to 13,705.72, 20,544 and 7,125.28

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Solution

The fourth proportional to 13,705.72, 20,544 and 7,125.28 is: 10,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.72 : 20,544 = 7,125.28 : x
  2. Step 2: Convert to fraction form
    13,705.72/20,544 = 7,125.28/x
  3. Step 3: Cross multiply
    13,705.72x = 20,544 × 7,125.28
  4. Step 4: Simplify right side
    13,705.72x = 146,381,752.32
  5. Step 5: Solve for x
    x = 146,381,752.32/13,705.72
  6. Step 6: Final answer
    x = 10,680.34

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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.