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Finding the Fourth Proportional to 19,086, 28,629.54 and 5,235

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Solution

The fourth proportional to 19,086, 28,629.54 and 5,235 is: 7,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 28,629.54 = 5,235 : x
  2. Step 2: Convert to fraction form
    19,086/28,629.54 = 5,235/x
  3. Step 3: Cross multiply
    19,086x = 28,629.54 × 5,235
  4. Step 4: Simplify right side
    19,086x = 149,875,641.90
  5. Step 5: Solve for x
    x = 149,875,641.90/19,086
  6. Step 6: Final answer
    x = 7,852.65

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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.