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Finding the Fourth Proportional to 21,768.64, 32,655.04 and 7,727.28

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Solution

The fourth proportional to 21,768.64, 32,655.04 and 7,727.28 is: 11,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768.64 : 32,655.04 = 7,727.28 : x
  2. Step 2: Convert to fraction form
    21,768.64/32,655.04 = 7,727.28/x
  3. Step 3: Cross multiply
    21,768.64x = 32,655.04 × 7,727.28
  4. Step 4: Simplify right side
    21,768.64x = 252,334,637.49
  5. Step 5: Solve for x
    x = 252,334,637.49/21,768.64
  6. Step 6: Final answer
    x = 11,591.66

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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.