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Finding the Fourth Proportional to 21,809.60, 32,716.80 and 7,961.60

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Solution

The fourth proportional to 21,809.60, 32,716.80 and 7,961.60 is: 11,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.60 : 32,716.80 = 7,961.60 : x
  2. Step 2: Convert to fraction form
    21,809.60/32,716.80 = 7,961.60/x
  3. Step 3: Cross multiply
    21,809.60x = 32,716.80 × 7,961.60
  4. Step 4: Simplify right side
    21,809.60x = 260,478,074.88
  5. Step 5: Solve for x
    x = 260,478,074.88/21,809.60
  6. Step 6: Final answer
    x = 11,943.28

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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.