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Finding the Fourth Proportional to 21,978.45, 30,325.01 and 13,024.41

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Solution

The fourth proportional to 21,978.45, 30,325.01 and 13,024.41 is: 17,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.45 : 30,325.01 = 13,024.41 : x
  2. Step 2: Convert to fraction form
    21,978.45/30,325.01 = 13,024.41/x
  3. Step 3: Cross multiply
    21,978.45x = 30,325.01 × 13,024.41
  4. Step 4: Simplify right side
    21,978.45x = 394,965,298.37
  5. Step 5: Solve for x
    x = 394,965,298.37/21,978.45
  6. Step 6: Final answer
    x = 17,970.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.