Home / 7,817.46-11,718-2,884.02

Finding the Fourth Proportional to 7,817.46, 11,718 and 2,884.02

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Solution

The fourth proportional to 7,817.46, 11,718 and 2,884.02 is: 4,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.46 : 11,718 = 2,884.02 : x
  2. Step 2: Convert to fraction form
    7,817.46/11,718 = 2,884.02/x
  3. Step 3: Cross multiply
    7,817.46x = 11,718 × 2,884.02
  4. Step 4: Simplify right side
    7,817.46x = 33,794,946.36
  5. Step 5: Solve for x
    x = 33,794,946.36/7,817.46
  6. Step 6: Final answer
    x = 4,323.01

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Why These Related Problems?

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