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Finding the Fourth Proportional to 12,305, 18,464.88 and 4,514.60

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Solution

The fourth proportional to 12,305, 18,464.88 and 4,514.60 is: 6,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305 : 18,464.88 = 4,514.60 : x
  2. Step 2: Convert to fraction form
    12,305/18,464.88 = 4,514.60/x
  3. Step 3: Cross multiply
    12,305x = 18,464.88 × 4,514.60
  4. Step 4: Simplify right side
    12,305x = 83,361,547.25
  5. Step 5: Solve for x
    x = 83,361,547.25/12,305
  6. Step 6: Final answer
    x = 6,774.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.