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Finding the Fourth Proportional to 12,773.84, 19,028.74 and 12,386.96

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Solution

The fourth proportional to 12,773.84, 19,028.74 and 12,386.96 is: 18,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.84 : 19,028.74 = 12,386.96 : x
  2. Step 2: Convert to fraction form
    12,773.84/19,028.74 = 12,386.96/x
  3. Step 3: Cross multiply
    12,773.84x = 19,028.74 × 12,386.96
  4. Step 4: Simplify right side
    12,773.84x = 235,708,241.23
  5. Step 5: Solve for x
    x = 235,708,241.23/12,773.84
  6. Step 6: Final answer
    x = 18,452.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.