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Finding the Fourth Proportional to 13,509, 20,273.94 and 9,378

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Solution

The fourth proportional to 13,509, 20,273.94 and 9,378 is: 14,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 20,273.94 = 9,378 : x
  2. Step 2: Convert to fraction form
    13,509/20,273.94 = 9,378/x
  3. Step 3: Cross multiply
    13,509x = 20,273.94 × 9,378
  4. Step 4: Simplify right side
    13,509x = 190,129,009.32
  5. Step 5: Solve for x
    x = 190,129,009.32/13,509
  6. Step 6: Final answer
    x = 14,074.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.