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Finding the Fourth Proportional to 21,991.84, 32,978.64 and 15,325.54

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Solution

The fourth proportional to 21,991.84, 32,978.64 and 15,325.54 is: 22,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.84 : 32,978.64 = 15,325.54 : x
  2. Step 2: Convert to fraction form
    21,991.84/32,978.64 = 15,325.54/x
  3. Step 3: Cross multiply
    21,991.84x = 32,978.64 × 15,325.54
  4. Step 4: Simplify right side
    21,991.84x = 505,415,466.47
  5. Step 5: Solve for x
    x = 505,415,466.47/21,991.84
  6. Step 6: Final answer
    x = 22,981.95

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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.