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Finding the Fourth Proportional to 12,546, 18,881.94 and 9,442.08

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Solution

The fourth proportional to 12,546, 18,881.94 and 9,442.08 is: 14,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 18,881.94 = 9,442.08 : x
  2. Step 2: Convert to fraction form
    12,546/18,881.94 = 9,442.08/x
  3. Step 3: Cross multiply
    12,546x = 18,881.94 × 9,442.08
  4. Step 4: Simplify right side
    12,546x = 178,284,788.04
  5. Step 5: Solve for x
    x = 178,284,788.04/12,546
  6. Step 6: Final answer
    x = 14,210.49

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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.