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Finding the Fourth Proportional to 3,752.68, 5,628.98 and 1,413.08

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Solution

The fourth proportional to 3,752.68, 5,628.98 and 1,413.08 is: 2,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.68 : 5,628.98 = 1,413.08 : x
  2. Step 2: Convert to fraction form
    3,752.68/5,628.98 = 1,413.08/x
  3. Step 3: Cross multiply
    3,752.68x = 5,628.98 × 1,413.08
  4. Step 4: Simplify right side
    3,752.68x = 7,954,199.06
  5. Step 5: Solve for x
    x = 7,954,199.06/3,752.68
  6. Step 6: Final answer
    x = 2,119.60

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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.