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Finding the Fourth Proportional to 8,090.68, 11,137.06 and 6,975.31

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Solution

The fourth proportional to 8,090.68, 11,137.06 and 6,975.31 is: 9,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.68 : 11,137.06 = 6,975.31 : x
  2. Step 2: Convert to fraction form
    8,090.68/11,137.06 = 6,975.31/x
  3. Step 3: Cross multiply
    8,090.68x = 11,137.06 × 6,975.31
  4. Step 4: Simplify right side
    8,090.68x = 77,684,445.99
  5. Step 5: Solve for x
    x = 77,684,445.99/8,090.68
  6. Step 6: Final answer
    x = 9,601.72

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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.