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Finding the Fourth Proportional to 24,378, 33,641.64 and 13,200

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Solution

The fourth proportional to 24,378, 33,641.64 and 13,200 is: 18,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 33,641.64 = 13,200 : x
  2. Step 2: Convert to fraction form
    24,378/33,641.64 = 13,200/x
  3. Step 3: Cross multiply
    24,378x = 33,641.64 × 13,200
  4. Step 4: Simplify right side
    24,378x = 444,069,648
  5. Step 5: Solve for x
    x = 444,069,648/24,378
  6. Step 6: Final answer
    x = 18,216

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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.