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Finding the Fourth Proportional to 13,794.38, 19,038.36 and 7,824.78

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Solution

The fourth proportional to 13,794.38, 19,038.36 and 7,824.78 is: 10,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.38 : 19,038.36 = 7,824.78 : x
  2. Step 2: Convert to fraction form
    13,794.38/19,038.36 = 7,824.78/x
  3. Step 3: Cross multiply
    13,794.38x = 19,038.36 × 7,824.78
  4. Step 4: Simplify right side
    13,794.38x = 148,970,978.56
  5. Step 5: Solve for x
    x = 148,970,978.56/13,794.38
  6. Step 6: Final answer
    x = 10,799.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.