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Finding the Fourth Proportional to 3,413.60, 4,709.30 and 1,957.61

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Solution

The fourth proportional to 3,413.60, 4,709.30 and 1,957.61 is: 2,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.60 : 4,709.30 = 1,957.61 : x
  2. Step 2: Convert to fraction form
    3,413.60/4,709.30 = 1,957.61/x
  3. Step 3: Cross multiply
    3,413.60x = 4,709.30 × 1,957.61
  4. Step 4: Simplify right side
    3,413.60x = 9,218,954.12
  5. Step 5: Solve for x
    x = 9,218,954.12/3,413.60
  6. Step 6: Final answer
    x = 2,700.65

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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.