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Finding the Fourth Proportional to 2,345, 3,517.02 and 1,190.12

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Solution

The fourth proportional to 2,345, 3,517.02 and 1,190.12 is: 1,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345 : 3,517.02 = 1,190.12 : x
  2. Step 2: Convert to fraction form
    2,345/3,517.02 = 1,190.12/x
  3. Step 3: Cross multiply
    2,345x = 3,517.02 × 1,190.12
  4. Step 4: Simplify right side
    2,345x = 4,185,675.84
  5. Step 5: Solve for x
    x = 4,185,675.84/2,345
  6. Step 6: Final answer
    x = 1,784.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.