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Finding the Fourth Proportional to 13,605.68, 18,768.18 and 9,356.24

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Solution

The fourth proportional to 13,605.68, 18,768.18 and 9,356.24 is: 12,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.68 : 18,768.18 = 9,356.24 : x
  2. Step 2: Convert to fraction form
    13,605.68/18,768.18 = 9,356.24/x
  3. Step 3: Cross multiply
    13,605.68x = 18,768.18 × 9,356.24
  4. Step 4: Simplify right side
    13,605.68x = 175,599,596.44
  5. Step 5: Solve for x
    x = 175,599,596.44/13,605.68
  6. Step 6: Final answer
    x = 12,906.34

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1.5x scale

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.