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Finding the Fourth Proportional to 7,851.14, 11,751.08 and 5,770.60

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Solution

The fourth proportional to 7,851.14, 11,751.08 and 5,770.60 is: 8,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.14 : 11,751.08 = 5,770.60 : x
  2. Step 2: Convert to fraction form
    7,851.14/11,751.08 = 5,770.60/x
  3. Step 3: Cross multiply
    7,851.14x = 11,751.08 × 5,770.60
  4. Step 4: Simplify right side
    7,851.14x = 67,810,694.64
  5. Step 5: Solve for x
    x = 67,810,694.64/7,851.14
  6. Step 6: Final answer
    x = 8,637.05

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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.