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Finding the Fourth Proportional to 12,069.64, 16,656.34 and 6,765

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Solution

The fourth proportional to 12,069.64, 16,656.34 and 6,765 is: 9,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.64 : 16,656.34 = 6,765 : x
  2. Step 2: Convert to fraction form
    12,069.64/16,656.34 = 6,765/x
  3. Step 3: Cross multiply
    12,069.64x = 16,656.34 × 6,765
  4. Step 4: Simplify right side
    12,069.64x = 112,680,140.10
  5. Step 5: Solve for x
    x = 112,680,140.10/12,069.64
  6. Step 6: Final answer
    x = 9,335.83

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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.