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Finding the Fourth Proportional to 12,774.93, 19,149.94 and 6,109.69

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Solution

The fourth proportional to 12,774.93, 19,149.94 and 6,109.69 is: 9,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.93 : 19,149.94 = 6,109.69 : x
  2. Step 2: Convert to fraction form
    12,774.93/19,149.94 = 6,109.69/x
  3. Step 3: Cross multiply
    12,774.93x = 19,149.94 × 6,109.69
  4. Step 4: Simplify right side
    12,774.93x = 117,000,236.70
  5. Step 5: Solve for x
    x = 117,000,236.70/12,774.93
  6. Step 6: Final answer
    x = 9,158.58

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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.