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Finding the Fourth Proportional to 3,753.47, 5,630.99 and 1,413.45

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Solution

The fourth proportional to 3,753.47, 5,630.99 and 1,413.45 is: 2,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.47 : 5,630.99 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    3,753.47/5,630.99 = 1,413.45/x
  3. Step 3: Cross multiply
    3,753.47x = 5,630.99 × 1,413.45
  4. Step 4: Simplify right side
    3,753.47x = 7,959,115.75
  5. Step 5: Solve for x
    x = 7,959,115.75/3,753.47
  6. Step 6: Final answer
    x = 2,120.47

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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.