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Finding the Fourth Proportional to 12,278.76, 16,946.62 and 7,243.54

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Solution

The fourth proportional to 12,278.76, 16,946.62 and 7,243.54 is: 9,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.76 : 16,946.62 = 7,243.54 : x
  2. Step 2: Convert to fraction form
    12,278.76/16,946.62 = 7,243.54/x
  3. Step 3: Cross multiply
    12,278.76x = 16,946.62 × 7,243.54
  4. Step 4: Simplify right side
    12,278.76x = 122,753,519.83
  5. Step 5: Solve for x
    x = 122,753,519.83/12,278.76
  6. Step 6: Final answer
    x = 9,997.22

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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.