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Finding the Fourth Proportional to 12,271.88, 16,936.44 and 7,237.76

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Solution

The fourth proportional to 12,271.88, 16,936.44 and 7,237.76 is: 9,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.88 : 16,936.44 = 7,237.76 : x
  2. Step 2: Convert to fraction form
    12,271.88/16,936.44 = 7,237.76/x
  3. Step 3: Cross multiply
    12,271.88x = 16,936.44 × 7,237.76
  4. Step 4: Simplify right side
    12,271.88x = 122,581,887.97
  5. Step 5: Solve for x
    x = 122,581,887.97/12,271.88
  6. Step 6: Final answer
    x = 9,988.84

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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.