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Finding the Fourth Proportional to 11,907.14, 16,409.20 and 8,721.41

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Solution

The fourth proportional to 11,907.14, 16,409.20 and 8,721.41 is: 12,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.14 : 16,409.20 = 8,721.41 : x
  2. Step 2: Convert to fraction form
    11,907.14/16,409.20 = 8,721.41/x
  3. Step 3: Cross multiply
    11,907.14x = 16,409.20 × 8,721.41
  4. Step 4: Simplify right side
    11,907.14x = 143,111,360.97
  5. Step 5: Solve for x
    x = 143,111,360.97/11,907.14
  6. Step 6: Final answer
    x = 12,018.95

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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.