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Finding the Fourth Proportional to 27,978.19, 41,967.29 and 9,253.20

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Solution

The fourth proportional to 27,978.19, 41,967.29 and 9,253.20 is: 13,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.19 : 41,967.29 = 9,253.20 : x
  2. Step 2: Convert to fraction form
    27,978.19/41,967.29 = 9,253.20/x
  3. Step 3: Cross multiply
    27,978.19x = 41,967.29 × 9,253.20
  4. Step 4: Simplify right side
    27,978.19x = 388,331,716.26
  5. Step 5: Solve for x
    x = 388,331,716.26/27,978.19
  6. Step 6: Final answer
    x = 13,879.80

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1.5x scale

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.