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Finding the Fourth Proportional to 21,865, 32,803.05 and 6,282.64

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Solution

The fourth proportional to 21,865, 32,803.05 and 6,282.64 is: 9,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865 : 32,803.05 = 6,282.64 : x
  2. Step 2: Convert to fraction form
    21,865/32,803.05 = 6,282.64/x
  3. Step 3: Cross multiply
    21,865x = 32,803.05 × 6,282.64
  4. Step 4: Simplify right side
    21,865x = 206,089,754.05
  5. Step 5: Solve for x
    x = 206,089,754.05/21,865
  6. Step 6: Final answer
    x = 9,425.55

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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.