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Finding the Fourth Proportional to 12,191.85, 16,805.07 and 8,830.08

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Solution

The fourth proportional to 12,191.85, 16,805.07 and 8,830.08 is: 12,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.85 : 16,805.07 = 8,830.08 : x
  2. Step 2: Convert to fraction form
    12,191.85/16,805.07 = 8,830.08/x
  3. Step 3: Cross multiply
    12,191.85x = 16,805.07 × 8,830.08
  4. Step 4: Simplify right side
    12,191.85x = 148,390,112.51
  5. Step 5: Solve for x
    x = 148,390,112.51/12,191.85
  6. Step 6: Final answer
    x = 12,171.25

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1.5x scale

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.