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Finding the Fourth Proportional to 8,040.76, 11,076.42 and 6,991

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Solution

The fourth proportional to 8,040.76, 11,076.42 and 6,991 is: 9,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.76 : 11,076.42 = 6,991 : x
  2. Step 2: Convert to fraction form
    8,040.76/11,076.42 = 6,991/x
  3. Step 3: Cross multiply
    8,040.76x = 11,076.42 × 6,991
  4. Step 4: Simplify right side
    8,040.76x = 77,435,252.22
  5. Step 5: Solve for x
    x = 77,435,252.22/8,040.76
  6. Step 6: Final answer
    x = 9,630.34

Related Problems

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Half scale
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Double scale
Find fourth proportional to 8,041.76, 11,077.80 and 6,992
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.