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Finding the Fourth Proportional to 4,751.98, 7,128.30 and 1,830.28

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Solution

The fourth proportional to 4,751.98, 7,128.30 and 1,830.28 is: 2,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.98 : 7,128.30 = 1,830.28 : x
  2. Step 2: Convert to fraction form
    4,751.98/7,128.30 = 1,830.28/x
  3. Step 3: Cross multiply
    4,751.98x = 7,128.30 × 1,830.28
  4. Step 4: Simplify right side
    4,751.98x = 13,046,784.92
  5. Step 5: Solve for x
    x = 13,046,784.92/4,751.98
  6. Step 6: Final answer
    x = 2,745.55

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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.