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Finding the Fourth Proportional to 12,728.40, 19,076.40 and 6,140.40

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Solution

The fourth proportional to 12,728.40, 19,076.40 and 6,140.40 is: 9,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.40 : 19,076.40 = 6,140.40 : x
  2. Step 2: Convert to fraction form
    12,728.40/19,076.40 = 6,140.40/x
  3. Step 3: Cross multiply
    12,728.40x = 19,076.40 × 6,140.40
  4. Step 4: Simplify right side
    12,728.40x = 117,136,726.56
  5. Step 5: Solve for x
    x = 117,136,726.56/12,728.40
  6. Step 6: Final answer
    x = 9,202.78

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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.