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Finding the Fourth Proportional to 13,682.38, 18,875 and 8,644.18

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Solution

The fourth proportional to 13,682.38, 18,875 and 8,644.18 is: 11,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.38 : 18,875 = 8,644.18 : x
  2. Step 2: Convert to fraction form
    13,682.38/18,875 = 8,644.18/x
  3. Step 3: Cross multiply
    13,682.38x = 18,875 × 8,644.18
  4. Step 4: Simplify right side
    13,682.38x = 163,158,897.50
  5. Step 5: Solve for x
    x = 163,158,897.50/13,682.38
  6. Step 6: Final answer
    x = 11,924.75

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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.