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Finding the Fourth Proportional to 13,783.60, 19,021.92 and 7,816

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Solution

The fourth proportional to 13,783.60, 19,021.92 and 7,816 is: 10,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.60 : 19,021.92 = 7,816 : x
  2. Step 2: Convert to fraction form
    13,783.60/19,021.92 = 7,816/x
  3. Step 3: Cross multiply
    13,783.60x = 19,021.92 × 7,816
  4. Step 4: Simplify right side
    13,783.60x = 148,675,326.72
  5. Step 5: Solve for x
    x = 148,675,326.72/13,783.60
  6. Step 6: Final answer
    x = 10,786.39

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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.