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Finding the Fourth Proportional to 6,413.65, 8,842.61 and 5,259.59

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Solution

The fourth proportional to 6,413.65, 8,842.61 and 5,259.59 is: 7,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.65 : 8,842.61 = 5,259.59 : x
  2. Step 2: Convert to fraction form
    6,413.65/8,842.61 = 5,259.59/x
  3. Step 3: Cross multiply
    6,413.65x = 8,842.61 × 5,259.59
  4. Step 4: Simplify right side
    6,413.65x = 46,508,432.62
  5. Step 5: Solve for x
    x = 46,508,432.62/6,413.65
  6. Step 6: Final answer
    x = 7,251.48

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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.