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Finding the Fourth Proportional to 12,791.63, 19,194.10 and 9,670.71

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Solution

The fourth proportional to 12,791.63, 19,194.10 and 9,670.71 is: 14,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.63 : 19,194.10 = 9,670.71 : x
  2. Step 2: Convert to fraction form
    12,791.63/19,194.10 = 9,670.71/x
  3. Step 3: Cross multiply
    12,791.63x = 19,194.10 × 9,670.71
  4. Step 4: Simplify right side
    12,791.63x = 185,620,569.04
  5. Step 5: Solve for x
    x = 185,620,569.04/12,791.63
  6. Step 6: Final answer
    x = 14,511.10

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1.5x scale

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.