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Finding the Fourth Proportional to 18,656.71, 27,986.33 and 6,969.67

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Solution

The fourth proportional to 18,656.71, 27,986.33 and 6,969.67 is: 10,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.71 : 27,986.33 = 6,969.67 : x
  2. Step 2: Convert to fraction form
    18,656.71/27,986.33 = 6,969.67/x
  3. Step 3: Cross multiply
    18,656.71x = 27,986.33 × 6,969.67
  4. Step 4: Simplify right side
    18,656.71x = 195,055,484.61
  5. Step 5: Solve for x
    x = 195,055,484.61/18,656.71
  6. Step 6: Final answer
    x = 10,454.98

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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.