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Finding the Fourth Proportional to 13,605.42, 18,778.81 and 8,304.68

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Solution

The fourth proportional to 13,605.42, 18,778.81 and 8,304.68 is: 11,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.42 : 18,778.81 = 8,304.68 : x
  2. Step 2: Convert to fraction form
    13,605.42/18,778.81 = 8,304.68/x
  3. Step 3: Cross multiply
    13,605.42x = 18,778.81 × 8,304.68
  4. Step 4: Simplify right side
    13,605.42x = 155,951,967.31
  5. Step 5: Solve for x
    x = 155,951,967.31/13,605.42
  6. Step 6: Final answer
    x = 11,462.49

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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.