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Finding the Fourth Proportional to 11,643, 16,069.68 and 6,675

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Solution

The fourth proportional to 11,643, 16,069.68 and 6,675 is: 9,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643 : 16,069.68 = 6,675 : x
  2. Step 2: Convert to fraction form
    11,643/16,069.68 = 6,675/x
  3. Step 3: Cross multiply
    11,643x = 16,069.68 × 6,675
  4. Step 4: Simplify right side
    11,643x = 107,265,114
  5. Step 5: Solve for x
    x = 107,265,114/11,643
  6. Step 6: Final answer
    x = 9,212.84

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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.