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Finding the Fourth Proportional to 12,986.09, 17,920.81 and 7,017.76

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Solution

The fourth proportional to 12,986.09, 17,920.81 and 7,017.76 is: 9,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.09 : 17,920.81 = 7,017.76 : x
  2. Step 2: Convert to fraction form
    12,986.09/17,920.81 = 7,017.76/x
  3. Step 3: Cross multiply
    12,986.09x = 17,920.81 × 7,017.76
  4. Step 4: Simplify right side
    12,986.09x = 125,764,039.96
  5. Step 5: Solve for x
    x = 125,764,039.96/12,986.09
  6. Step 6: Final answer
    x = 9,684.52

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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.