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Finding the Fourth Proportional to 13,704, 20,559.25 and 4,470

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Solution

The fourth proportional to 13,704, 20,559.25 and 4,470 is: 6,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704 : 20,559.25 = 4,470 : x
  2. Step 2: Convert to fraction form
    13,704/20,559.25 = 4,470/x
  3. Step 3: Cross multiply
    13,704x = 20,559.25 × 4,470
  4. Step 4: Simplify right side
    13,704x = 91,899,847.50
  5. Step 5: Solve for x
    x = 91,899,847.50/13,704
  6. Step 6: Final answer
    x = 6,706.06

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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.