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Finding the Fourth Proportional to 13,704, 18,903.96 and 9,219.84

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Solution

The fourth proportional to 13,704, 18,903.96 and 9,219.84 is: 12,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704 : 18,903.96 = 9,219.84 : x
  2. Step 2: Convert to fraction form
    13,704/18,903.96 = 9,219.84/x
  3. Step 3: Cross multiply
    13,704x = 18,903.96 × 9,219.84
  4. Step 4: Simplify right side
    13,704x = 174,291,486.57
  5. Step 5: Solve for x
    x = 174,291,486.57/13,704
  6. Step 6: Final answer
    x = 12,718.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.