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Finding the Fourth Proportional to 27,588, 41,388.48 and 9,120

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Solution

The fourth proportional to 27,588, 41,388.48 and 9,120 is: 13,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 41,388.48 = 9,120 : x
  2. Step 2: Convert to fraction form
    27,588/41,388.48 = 9,120/x
  3. Step 3: Cross multiply
    27,588x = 41,388.48 × 9,120
  4. Step 4: Simplify right side
    27,588x = 377,462,937.60
  5. Step 5: Solve for x
    x = 377,462,937.60/27,588
  6. Step 6: Final answer
    x = 13,682.14

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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.