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Finding the Fourth Proportional to 13,524, 18,702 and 12,905.16

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Solution

The fourth proportional to 13,524, 18,702 and 12,905.16 is: 17,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 18,702 = 12,905.16 : x
  2. Step 2: Convert to fraction form
    13,524/18,702 = 12,905.16/x
  3. Step 3: Cross multiply
    13,524x = 18,702 × 12,905.16
  4. Step 4: Simplify right side
    13,524x = 241,352,302.32
  5. Step 5: Solve for x
    x = 241,352,302.32/13,524
  6. Step 6: Final answer
    x = 17,846.22

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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.