Home / 7,784.14-11,670-2,851.03

Finding the Fourth Proportional to 7,784.14, 11,670 and 2,851.03

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Solution

The fourth proportional to 7,784.14, 11,670 and 2,851.03 is: 4,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.14 : 11,670 = 2,851.03 : x
  2. Step 2: Convert to fraction form
    7,784.14/11,670 = 2,851.03/x
  3. Step 3: Cross multiply
    7,784.14x = 11,670 × 2,851.03
  4. Step 4: Simplify right side
    7,784.14x = 33,271,520.10
  5. Step 5: Solve for x
    x = 33,271,520.10/7,784.14
  6. Step 6: Final answer
    x = 4,274.27

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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.