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Finding the Fourth Proportional to 12,769, 17,616.90 and 8,054.44

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Solution

The fourth proportional to 12,769, 17,616.90 and 8,054.44 is: 11,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769 : 17,616.90 = 8,054.44 : x
  2. Step 2: Convert to fraction form
    12,769/17,616.90 = 8,054.44/x
  3. Step 3: Cross multiply
    12,769x = 17,616.90 × 8,054.44
  4. Step 4: Simplify right side
    12,769x = 141,894,264.04
  5. Step 5: Solve for x
    x = 141,894,264.04/12,769
  6. Step 6: Final answer
    x = 11,112.40

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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.