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Finding the Fourth Proportional to 8,268.98, 11,411 and 4,492.05

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Solution

The fourth proportional to 8,268.98, 11,411 and 4,492.05 is: 6,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.98 : 11,411 = 4,492.05 : x
  2. Step 2: Convert to fraction form
    8,268.98/11,411 = 4,492.05/x
  3. Step 3: Cross multiply
    8,268.98x = 11,411 × 4,492.05
  4. Step 4: Simplify right side
    8,268.98x = 51,258,782.55
  5. Step 5: Solve for x
    x = 51,258,782.55/8,268.98
  6. Step 6: Final answer
    x = 6,198.92

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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.