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Finding the Fourth Proportional to 12,774.49, 19,161.83 and 4,454.49

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Solution

The fourth proportional to 12,774.49, 19,161.83 and 4,454.49 is: 6,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.49 : 19,161.83 = 4,454.49 : x
  2. Step 2: Convert to fraction form
    12,774.49/19,161.83 = 4,454.49/x
  3. Step 3: Cross multiply
    12,774.49x = 19,161.83 × 4,454.49
  4. Step 4: Simplify right side
    12,774.49x = 85,356,180.12
  5. Step 5: Solve for x
    x = 85,356,180.12/12,774.49
  6. Step 6: Final answer
    x = 6,681.77

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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.