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Finding the Fourth Proportional to 11,449, 15,798.02 and 6,413.48

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Solution

The fourth proportional to 11,449, 15,798.02 and 6,413.48 is: 8,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449 : 15,798.02 = 6,413.48 : x
  2. Step 2: Convert to fraction form
    11,449/15,798.02 = 6,413.48/x
  3. Step 3: Cross multiply
    11,449x = 15,798.02 × 6,413.48
  4. Step 4: Simplify right side
    11,449x = 101,320,285.31
  5. Step 5: Solve for x
    x = 101,320,285.31/11,449
  6. Step 6: Final answer
    x = 8,849.71

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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.