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Finding the Fourth Proportional to 21,900.78, 32,856.30 and 12,034.98

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Solution

The fourth proportional to 21,900.78, 32,856.30 and 12,034.98 is: 18,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.78 : 32,856.30 = 12,034.98 : x
  2. Step 2: Convert to fraction form
    21,900.78/32,856.30 = 12,034.98/x
  3. Step 3: Cross multiply
    21,900.78x = 32,856.30 × 12,034.98
  4. Step 4: Simplify right side
    21,900.78x = 395,424,913.37
  5. Step 5: Solve for x
    x = 395,424,913.37/21,900.78
  6. Step 6: Final answer
    x = 18,055.29

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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.