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Finding the Fourth Proportional to 12,546.45, 18,893.03 and 9,282.51

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Solution

The fourth proportional to 12,546.45, 18,893.03 and 9,282.51 is: 13,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.45 : 18,893.03 = 9,282.51 : x
  2. Step 2: Convert to fraction form
    12,546.45/18,893.03 = 9,282.51/x
  3. Step 3: Cross multiply
    12,546.45x = 18,893.03 × 9,282.51
  4. Step 4: Simplify right side
    12,546.45x = 175,374,693.49
  5. Step 5: Solve for x
    x = 175,374,693.49/12,546.45
  6. Step 6: Final answer
    x = 13,978.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.