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Finding the Fourth Proportional to 7,851.64, 11,777.04 and 2,007.88

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Solution

The fourth proportional to 7,851.64, 11,777.04 and 2,007.88 is: 3,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.64 : 11,777.04 = 2,007.88 : x
  2. Step 2: Convert to fraction form
    7,851.64/11,777.04 = 2,007.88/x
  3. Step 3: Cross multiply
    7,851.64x = 11,777.04 × 2,007.88
  4. Step 4: Simplify right side
    7,851.64x = 23,646,883.08
  5. Step 5: Solve for x
    x = 23,646,883.08/7,851.64
  6. Step 6: Final answer
    x = 3,011.71

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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.