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Finding the Fourth Proportional to 9,371.51, 12,942.37 and 8,106.49

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Solution

The fourth proportional to 9,371.51, 12,942.37 and 8,106.49 is: 11,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.51 : 12,942.37 = 8,106.49 : x
  2. Step 2: Convert to fraction form
    9,371.51/12,942.37 = 8,106.49/x
  3. Step 3: Cross multiply
    9,371.51x = 12,942.37 × 8,106.49
  4. Step 4: Simplify right side
    9,371.51x = 104,917,219.29
  5. Step 5: Solve for x
    x = 104,917,219.29/9,371.51
  6. Step 6: Final answer
    x = 11,195.34

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1.5x scale

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.