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Finding the Fourth Proportional to 12,546, 18,820.26 and 3,312

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Solution

The fourth proportional to 12,546, 18,820.26 and 3,312 is: 4,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 18,820.26 = 3,312 : x
  2. Step 2: Convert to fraction form
    12,546/18,820.26 = 3,312/x
  3. Step 3: Cross multiply
    12,546x = 18,820.26 × 3,312
  4. Step 4: Simplify right side
    12,546x = 62,332,701.12
  5. Step 5: Solve for x
    x = 62,332,701.12/12,546
  6. Step 6: Final answer
    x = 4,968.33

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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.