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Finding the Fourth Proportional to 2,351.50, 3,245.07 and 1,420

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Solution

The fourth proportional to 2,351.50, 3,245.07 and 1,420 is: 1,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.50 : 3,245.07 = 1,420 : x
  2. Step 2: Convert to fraction form
    2,351.50/3,245.07 = 1,420/x
  3. Step 3: Cross multiply
    2,351.50x = 3,245.07 × 1,420
  4. Step 4: Simplify right side
    2,351.50x = 4,607,999.40
  5. Step 5: Solve for x
    x = 4,607,999.40/2,351.50
  6. Step 6: Final answer
    x = 1,959.60

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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.