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Finding the Fourth Proportional to 22,130.58, 33,194.79 and 8,278.50

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Solution

The fourth proportional to 22,130.58, 33,194.79 and 8,278.50 is: 12,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.58 : 33,194.79 = 8,278.50 : x
  2. Step 2: Convert to fraction form
    22,130.58/33,194.79 = 8,278.50/x
  3. Step 3: Cross multiply
    22,130.58x = 33,194.79 × 8,278.50
  4. Step 4: Simplify right side
    22,130.58x = 274,803,069.02
  5. Step 5: Solve for x
    x = 274,803,069.02/22,130.58
  6. Step 6: Final answer
    x = 12,417.35

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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.