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Finding the Fourth Proportional to 8,287.34, 12,411.86 and 4,993.16

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Solution

The fourth proportional to 8,287.34, 12,411.86 and 4,993.16 is: 7,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.34 : 12,411.86 = 4,993.16 : x
  2. Step 2: Convert to fraction form
    8,287.34/12,411.86 = 4,993.16/x
  3. Step 3: Cross multiply
    8,287.34x = 12,411.86 × 4,993.16
  4. Step 4: Simplify right side
    8,287.34x = 61,974,315.85
  5. Step 5: Solve for x
    x = 61,974,315.85/8,287.34
  6. Step 6: Final answer
    x = 7,478.20

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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.