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Finding the Fourth Proportional to 8,930.84, 12,322 and 5,153.72

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Solution

The fourth proportional to 8,930.84, 12,322 and 5,153.72 is: 7,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.84 : 12,322 = 5,153.72 : x
  2. Step 2: Convert to fraction form
    8,930.84/12,322 = 5,153.72/x
  3. Step 3: Cross multiply
    8,930.84x = 12,322 × 5,153.72
  4. Step 4: Simplify right side
    8,930.84x = 63,504,137.84
  5. Step 5: Solve for x
    x = 63,504,137.84/8,930.84
  6. Step 6: Final answer
    x = 7,110.66

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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.