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Finding the Fourth Proportional to 1,728.44, 2,385.18 and 942.47

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Solution

The fourth proportional to 1,728.44, 2,385.18 and 942.47 is: 1,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.44 : 2,385.18 = 942.47 : x
  2. Step 2: Convert to fraction form
    1,728.44/2,385.18 = 942.47/x
  3. Step 3: Cross multiply
    1,728.44x = 2,385.18 × 942.47
  4. Step 4: Simplify right side
    1,728.44x = 2,247,960.59
  5. Step 5: Solve for x
    x = 2,247,960.59/1,728.44
  6. Step 6: Final answer
    x = 1,300.57

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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.