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Finding the Fourth Proportional to 12,237, 16,897.40 and 7,768.68

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Solution

The fourth proportional to 12,237, 16,897.40 and 7,768.68 is: 10,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237 : 16,897.40 = 7,768.68 : x
  2. Step 2: Convert to fraction form
    12,237/16,897.40 = 7,768.68/x
  3. Step 3: Cross multiply
    12,237x = 16,897.40 × 7,768.68
  4. Step 4: Simplify right side
    12,237x = 131,270,493.43
  5. Step 5: Solve for x
    x = 131,270,493.43/12,237
  6. Step 6: Final answer
    x = 10,727.34

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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.