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Finding the Fourth Proportional to 12,961.90, 17,887.76 and 7,296.86

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Solution

The fourth proportional to 12,961.90, 17,887.76 and 7,296.86 is: 10,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.90 : 17,887.76 = 7,296.86 : x
  2. Step 2: Convert to fraction form
    12,961.90/17,887.76 = 7,296.86/x
  3. Step 3: Cross multiply
    12,961.90x = 17,887.76 × 7,296.86
  4. Step 4: Simplify right side
    12,961.90x = 130,524,390.99
  5. Step 5: Solve for x
    x = 130,524,390.99/12,961.90
  6. Step 6: Final answer
    x = 10,069.85

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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.