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Finding the Fourth Proportional to 2,859.59, 3,946.16 and 1,600.65

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Solution

The fourth proportional to 2,859.59, 3,946.16 and 1,600.65 is: 2,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.59 : 3,946.16 = 1,600.65 : x
  2. Step 2: Convert to fraction form
    2,859.59/3,946.16 = 1,600.65/x
  3. Step 3: Cross multiply
    2,859.59x = 3,946.16 × 1,600.65
  4. Step 4: Simplify right side
    2,859.59x = 6,316,413.00
  5. Step 5: Solve for x
    x = 6,316,413.00/2,859.59
  6. Step 6: Final answer
    x = 2,208.86

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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.