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Finding the Fourth Proportional to 5,309.35, 7,964.12 and 1,413.65

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Solution

The fourth proportional to 5,309.35, 7,964.12 and 1,413.65 is: 2,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.35 : 7,964.12 = 1,413.65 : x
  2. Step 2: Convert to fraction form
    5,309.35/7,964.12 = 1,413.65/x
  3. Step 3: Cross multiply
    5,309.35x = 7,964.12 × 1,413.65
  4. Step 4: Simplify right side
    5,309.35x = 11,258,501.68
  5. Step 5: Solve for x
    x = 11,258,501.68/5,309.35
  6. Step 6: Final answer
    x = 2,120.51

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1.5x scale

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.