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Finding the Fourth Proportional to 12,894.25, 19,343.22 and 4,891.96

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Solution

The fourth proportional to 12,894.25, 19,343.22 and 4,891.96 is: 7,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.25 : 19,343.22 = 4,891.96 : x
  2. Step 2: Convert to fraction form
    12,894.25/19,343.22 = 4,891.96/x
  3. Step 3: Cross multiply
    12,894.25x = 19,343.22 × 4,891.96
  4. Step 4: Simplify right side
    12,894.25x = 94,626,258.51
  5. Step 5: Solve for x
    x = 94,626,258.51/12,894.25
  6. Step 6: Final answer
    x = 7,338.64

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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.