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Finding the Fourth Proportional to 2,451.50, 3,383.07 and 1,347.50

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Solution

The fourth proportional to 2,451.50, 3,383.07 and 1,347.50 is: 1,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.50 : 3,383.07 = 1,347.50 : x
  2. Step 2: Convert to fraction form
    2,451.50/3,383.07 = 1,347.50/x
  3. Step 3: Cross multiply
    2,451.50x = 3,383.07 × 1,347.50
  4. Step 4: Simplify right side
    2,451.50x = 4,558,686.83
  5. Step 5: Solve for x
    x = 4,558,686.83/2,451.50
  6. Step 6: Final answer
    x = 1,859.55

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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.