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Finding the Fourth Proportional to 21,393.84, 32,064 and 10,297.56

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Solution

The fourth proportional to 21,393.84, 32,064 and 10,297.56 is: 15,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393.84 : 32,064 = 10,297.56 : x
  2. Step 2: Convert to fraction form
    21,393.84/32,064 = 10,297.56/x
  3. Step 3: Cross multiply
    21,393.84x = 32,064 × 10,297.56
  4. Step 4: Simplify right side
    21,393.84x = 330,180,963.84
  5. Step 5: Solve for x
    x = 330,180,963.84/21,393.84
  6. Step 6: Final answer
    x = 15,433.46

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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.