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Finding the Fourth Proportional to 9,414.90, 12,992.40 and 5,223.06

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Solution

The fourth proportional to 9,414.90, 12,992.40 and 5,223.06 is: 7,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.90 : 12,992.40 = 5,223.06 : x
  2. Step 2: Convert to fraction form
    9,414.90/12,992.40 = 5,223.06/x
  3. Step 3: Cross multiply
    9,414.90x = 12,992.40 × 5,223.06
  4. Step 4: Simplify right side
    9,414.90x = 67,860,084.74
  5. Step 5: Solve for x
    x = 67,860,084.74/9,414.90
  6. Step 6: Final answer
    x = 7,207.73

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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.