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Finding the Fourth Proportional to 7,776.76, 11,661.36 and 2,843.05

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Solution

The fourth proportional to 7,776.76, 11,661.36 and 2,843.05 is: 4,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.76 : 11,661.36 = 2,843.05 : x
  2. Step 2: Convert to fraction form
    7,776.76/11,661.36 = 2,843.05/x
  3. Step 3: Cross multiply
    7,776.76x = 11,661.36 × 2,843.05
  4. Step 4: Simplify right side
    7,776.76x = 33,153,829.55
  5. Step 5: Solve for x
    x = 33,153,829.55/7,776.76
  6. Step 6: Final answer
    x = 4,263.19

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1.5x scale

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.