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Finding the Fourth Proportional to 13,787.78, 19,027.31 and 7,819.31

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Solution

The fourth proportional to 13,787.78, 19,027.31 and 7,819.31 is: 10,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.78 : 19,027.31 = 7,819.31 : x
  2. Step 2: Convert to fraction form
    13,787.78/19,027.31 = 7,819.31/x
  3. Step 3: Cross multiply
    13,787.78x = 19,027.31 × 7,819.31
  4. Step 4: Simplify right side
    13,787.78x = 148,780,301.12
  5. Step 5: Solve for x
    x = 148,780,301.12/13,787.78
  6. Step 6: Final answer
    x = 10,790.74

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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.