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Finding the Fourth Proportional to 2,323.73, 3,210.90 and 1,728.63

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Solution

The fourth proportional to 2,323.73, 3,210.90 and 1,728.63 is: 2,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.73 : 3,210.90 = 1,728.63 : x
  2. Step 2: Convert to fraction form
    2,323.73/3,210.90 = 1,728.63/x
  3. Step 3: Cross multiply
    2,323.73x = 3,210.90 × 1,728.63
  4. Step 4: Simplify right side
    2,323.73x = 5,550,458.07
  5. Step 5: Solve for x
    x = 5,550,458.07/2,323.73
  6. Step 6: Final answer
    x = 2,388.60

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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.