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Finding the Fourth Proportional to 2,842.60, 3,923.08 and 1,583.66

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Solution

The fourth proportional to 2,842.60, 3,923.08 and 1,583.66 is: 2,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.60 : 3,923.08 = 1,583.66 : x
  2. Step 2: Convert to fraction form
    2,842.60/3,923.08 = 1,583.66/x
  3. Step 3: Cross multiply
    2,842.60x = 3,923.08 × 1,583.66
  4. Step 4: Simplify right side
    2,842.60x = 6,212,816.95
  5. Step 5: Solve for x
    x = 6,212,816.95/2,842.60
  6. Step 6: Final answer
    x = 2,185.61

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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.