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Finding the Fourth Proportional to 27,985.20, 41,978.52 and 9,265.20

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Solution

The fourth proportional to 27,985.20, 41,978.52 and 9,265.20 is: 13,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.20 : 41,978.52 = 9,265.20 : x
  2. Step 2: Convert to fraction form
    27,985.20/41,978.52 = 9,265.20/x
  3. Step 3: Cross multiply
    27,985.20x = 41,978.52 × 9,265.20
  4. Step 4: Simplify right side
    27,985.20x = 388,939,383.50
  5. Step 5: Solve for x
    x = 388,939,383.50/27,985.20
  6. Step 6: Final answer
    x = 13,898.04

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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.