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Finding the Fourth Proportional to 11,021.46, 15,211 and 6,830.34

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Solution

The fourth proportional to 11,021.46, 15,211 and 6,830.34 is: 9,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.46 : 15,211 = 6,830.34 : x
  2. Step 2: Convert to fraction form
    11,021.46/15,211 = 6,830.34/x
  3. Step 3: Cross multiply
    11,021.46x = 15,211 × 6,830.34
  4. Step 4: Simplify right side
    11,021.46x = 103,896,301.74
  5. Step 5: Solve for x
    x = 103,896,301.74/11,021.46
  6. Step 6: Final answer
    x = 9,426.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.