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Finding the Fourth Proportional to 16,378, 22,601.64 and 8,926

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Solution

The fourth proportional to 16,378, 22,601.64 and 8,926 is: 12,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378 : 22,601.64 = 8,926 : x
  2. Step 2: Convert to fraction form
    16,378/22,601.64 = 8,926/x
  3. Step 3: Cross multiply
    16,378x = 22,601.64 × 8,926
  4. Step 4: Simplify right side
    16,378x = 201,742,238.64
  5. Step 5: Solve for x
    x = 201,742,238.64/16,378
  6. Step 6: Final answer
    x = 12,317.88

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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.