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Finding the Fourth Proportional to 21,361.76, 32,024.39 and 15,102.08

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Solution

The fourth proportional to 21,361.76, 32,024.39 and 15,102.08 is: 22,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.76 : 32,024.39 = 15,102.08 : x
  2. Step 2: Convert to fraction form
    21,361.76/32,024.39 = 15,102.08/x
  3. Step 3: Cross multiply
    21,361.76x = 32,024.39 × 15,102.08
  4. Step 4: Simplify right side
    21,361.76x = 483,634,899.73
  5. Step 5: Solve for x
    x = 483,634,899.73/21,361.76
  6. Step 6: Final answer
    x = 22,640.22

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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.