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Finding the Fourth Proportional to 4,751.36, 7,125.79 and 1,418.82

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Solution

The fourth proportional to 4,751.36, 7,125.79 and 1,418.82 is: 2,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.36 : 7,125.79 = 1,418.82 : x
  2. Step 2: Convert to fraction form
    4,751.36/7,125.79 = 1,418.82/x
  3. Step 3: Cross multiply
    4,751.36x = 7,125.79 × 1,418.82
  4. Step 4: Simplify right side
    4,751.36x = 10,110,206.27
  5. Step 5: Solve for x
    x = 10,110,206.27/4,751.36
  6. Step 6: Final answer
    x = 2,127.86

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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.