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Finding the Fourth Proportional to 13,402.84, 18,489.85 and 8,368.31

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Solution

The fourth proportional to 13,402.84, 18,489.85 and 8,368.31 is: 11,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.84 : 18,489.85 = 8,368.31 : x
  2. Step 2: Convert to fraction form
    13,402.84/18,489.85 = 8,368.31/x
  3. Step 3: Cross multiply
    13,402.84x = 18,489.85 × 8,368.31
  4. Step 4: Simplify right side
    13,402.84x = 154,728,796.65
  5. Step 5: Solve for x
    x = 154,728,796.65/13,402.84
  6. Step 6: Final answer
    x = 11,544.48

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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.