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Finding the Fourth Proportional to 27,109.28, 40,664.08 and 9,578.08

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Solution

The fourth proportional to 27,109.28, 40,664.08 and 9,578.08 is: 14,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.28 : 40,664.08 = 9,578.08 : x
  2. Step 2: Convert to fraction form
    27,109.28/40,664.08 = 9,578.08/x
  3. Step 3: Cross multiply
    27,109.28x = 40,664.08 × 9,578.08
  4. Step 4: Simplify right side
    27,109.28x = 389,483,811.37
  5. Step 5: Solve for x
    x = 389,483,811.37/27,109.28
  6. Step 6: Final answer
    x = 14,367.18

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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.