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Finding the Fourth Proportional to 2,800.53, 4,200.24 and 1,413.51

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Solution

The fourth proportional to 2,800.53, 4,200.24 and 1,413.51 is: 2,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.53 : 4,200.24 = 1,413.51 : x
  2. Step 2: Convert to fraction form
    2,800.53/4,200.24 = 1,413.51/x
  3. Step 3: Cross multiply
    2,800.53x = 4,200.24 × 1,413.51
  4. Step 4: Simplify right side
    2,800.53x = 5,937,081.24
  5. Step 5: Solve for x
    x = 5,937,081.24/2,800.53
  6. Step 6: Final answer
    x = 2,119.98

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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.