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Finding the Fourth Proportional to 27,647.40, 41,471.10 and 7,924.80

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Solution

The fourth proportional to 27,647.40, 41,471.10 and 7,924.80 is: 11,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.40 : 41,471.10 = 7,924.80 : x
  2. Step 2: Convert to fraction form
    27,647.40/41,471.10 = 7,924.80/x
  3. Step 3: Cross multiply
    27,647.40x = 41,471.10 × 7,924.80
  4. Step 4: Simplify right side
    27,647.40x = 328,650,173.28
  5. Step 5: Solve for x
    x = 328,650,173.28/27,647.40
  6. Step 6: Final answer
    x = 11,887.20

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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.