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Finding the Fourth Proportional to 12,278.78, 16,946.94 and 7,242.71

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Solution

The fourth proportional to 12,278.78, 16,946.94 and 7,242.71 is: 9,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.78 : 16,946.94 = 7,242.71 : x
  2. Step 2: Convert to fraction form
    12,278.78/16,946.94 = 7,242.71/x
  3. Step 3: Cross multiply
    12,278.78x = 16,946.94 × 7,242.71
  4. Step 4: Simplify right side
    12,278.78x = 122,741,673.49
  5. Step 5: Solve for x
    x = 122,741,673.49/12,278.78
  6. Step 6: Final answer
    x = 9,996.24

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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.