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Finding the Fourth Proportional to 21,361.76, 32,014.77 and 15,458.53

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Solution

The fourth proportional to 21,361.76, 32,014.77 and 15,458.53 is: 23,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.76 : 32,014.77 = 15,458.53 : x
  2. Step 2: Convert to fraction form
    21,361.76/32,014.77 = 15,458.53/x
  3. Step 3: Cross multiply
    21,361.76x = 32,014.77 × 15,458.53
  4. Step 4: Simplify right side
    21,361.76x = 494,901,282.49
  5. Step 5: Solve for x
    x = 494,901,282.49/21,361.76
  6. Step 6: Final answer
    x = 23,167.63

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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.