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Finding the Fourth Proportional to 12,323.14, 18,486.73 and 6,779.09

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Solution

The fourth proportional to 12,323.14, 18,486.73 and 6,779.09 is: 10,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.14 : 18,486.73 = 6,779.09 : x
  2. Step 2: Convert to fraction form
    12,323.14/18,486.73 = 6,779.09/x
  3. Step 3: Cross multiply
    12,323.14x = 18,486.73 × 6,779.09
  4. Step 4: Simplify right side
    12,323.14x = 125,323,261.17
  5. Step 5: Solve for x
    x = 125,323,261.17/12,323.14
  6. Step 6: Final answer
    x = 10,169.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.