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Finding the Fourth Proportional to 11,245, 15,518.16 and 6,277

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Solution

The fourth proportional to 11,245, 15,518.16 and 6,277 is: 8,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245 : 15,518.16 = 6,277 : x
  2. Step 2: Convert to fraction form
    11,245/15,518.16 = 6,277/x
  3. Step 3: Cross multiply
    11,245x = 15,518.16 × 6,277
  4. Step 4: Simplify right side
    11,245x = 97,407,490.32
  5. Step 5: Solve for x
    x = 97,407,490.32/11,245
  6. Step 6: Final answer
    x = 8,662.29

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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.