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Finding the Fourth Proportional to 34,626, 47,783.88 and 19,724.88

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Solution

The fourth proportional to 34,626, 47,783.88 and 19,724.88 is: 27,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,626 : 47,783.88 = 19,724.88 : x
  2. Step 2: Convert to fraction form
    34,626/47,783.88 = 19,724.88/x
  3. Step 3: Cross multiply
    34,626x = 47,783.88 × 19,724.88
  4. Step 4: Simplify right side
    34,626x = 942,531,298.93
  5. Step 5: Solve for x
    x = 942,531,298.93/34,626
  6. Step 6: Final answer
    x = 27,220.33

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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.