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Finding the Fourth Proportional to 11,811.63, 16,300.05 and 6,506.43

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Solution

The fourth proportional to 11,811.63, 16,300.05 and 6,506.43 is: 8,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.63 : 16,300.05 = 6,506.43 : x
  2. Step 2: Convert to fraction form
    11,811.63/16,300.05 = 6,506.43/x
  3. Step 3: Cross multiply
    11,811.63x = 16,300.05 × 6,506.43
  4. Step 4: Simplify right side
    11,811.63x = 106,055,134.32
  5. Step 5: Solve for x
    x = 106,055,134.32/11,811.63
  6. Step 6: Final answer
    x = 8,978.87

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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.