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Finding the Fourth Proportional to 12,071.87, 18,107.82 and 6,866.81

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Solution

The fourth proportional to 12,071.87, 18,107.82 and 6,866.81 is: 10,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.87 : 18,107.82 = 6,866.81 : x
  2. Step 2: Convert to fraction form
    12,071.87/18,107.82 = 6,866.81/x
  3. Step 3: Cross multiply
    12,071.87x = 18,107.82 × 6,866.81
  4. Step 4: Simplify right side
    12,071.87x = 124,343,004.72
  5. Step 5: Solve for x
    x = 124,343,004.72/12,071.87
  6. Step 6: Final answer
    x = 10,300.23

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1.5x scale

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.