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Finding the Fourth Proportional to 12,961.70, 19,431.15 and 7,683.70

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Solution

The fourth proportional to 12,961.70, 19,431.15 and 7,683.70 is: 11,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.70 : 19,431.15 = 7,683.70 : x
  2. Step 2: Convert to fraction form
    12,961.70/19,431.15 = 7,683.70/x
  3. Step 3: Cross multiply
    12,961.70x = 19,431.15 × 7,683.70
  4. Step 4: Simplify right side
    12,961.70x = 149,303,127.26
  5. Step 5: Solve for x
    x = 149,303,127.26/12,961.70
  6. Step 6: Final answer
    x = 11,518.79

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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.