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Finding the Fourth Proportional to 27,642.60, 41,470.26 and 7,921.32

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Solution

The fourth proportional to 27,642.60, 41,470.26 and 7,921.32 is: 11,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.60 : 41,470.26 = 7,921.32 : x
  2. Step 2: Convert to fraction form
    27,642.60/41,470.26 = 7,921.32/x
  3. Step 3: Cross multiply
    27,642.60x = 41,470.26 × 7,921.32
  4. Step 4: Simplify right side
    27,642.60x = 328,499,199.94
  5. Step 5: Solve for x
    x = 328,499,199.94/27,642.60
  6. Step 6: Final answer
    x = 11,883.80

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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.