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Finding the Fourth Proportional to 8,409.93, 11,617.49 and 7,967.07

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Solution

The fourth proportional to 8,409.93, 11,617.49 and 7,967.07 is: 11,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.93 : 11,617.49 = 7,967.07 : x
  2. Step 2: Convert to fraction form
    8,409.93/11,617.49 = 7,967.07/x
  3. Step 3: Cross multiply
    8,409.93x = 11,617.49 × 7,967.07
  4. Step 4: Simplify right side
    8,409.93x = 92,557,316.22
  5. Step 5: Solve for x
    x = 92,557,316.22/8,409.93
  6. Step 6: Final answer
    x = 11,005.72

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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.