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Finding the Fourth Proportional to 3,262.46, 4,894.60 and 1,314.20

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Solution

The fourth proportional to 3,262.46, 4,894.60 and 1,314.20 is: 1,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.46 : 4,894.60 = 1,314.20 : x
  2. Step 2: Convert to fraction form
    3,262.46/4,894.60 = 1,314.20/x
  3. Step 3: Cross multiply
    3,262.46x = 4,894.60 × 1,314.20
  4. Step 4: Simplify right side
    3,262.46x = 6,432,483.32
  5. Step 5: Solve for x
    x = 6,432,483.32/3,262.46
  6. Step 6: Final answer
    x = 1,971.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.