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Finding the Fourth Proportional to 8,442.60, 11,650.14 and 5,084.70

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Solution

The fourth proportional to 8,442.60, 11,650.14 and 5,084.70 is: 7,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.60 : 11,650.14 = 5,084.70 : x
  2. Step 2: Convert to fraction form
    8,442.60/11,650.14 = 5,084.70/x
  3. Step 3: Cross multiply
    8,442.60x = 11,650.14 × 5,084.70
  4. Step 4: Simplify right side
    8,442.60x = 59,237,466.86
  5. Step 5: Solve for x
    x = 59,237,466.86/8,442.60
  6. Step 6: Final answer
    x = 7,016.50

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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.