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Finding the Fourth Proportional to 2,698.90, 4,048.35 and 751.10

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Solution

The fourth proportional to 2,698.90, 4,048.35 and 751.10 is: 1,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.90 : 4,048.35 = 751.10 : x
  2. Step 2: Convert to fraction form
    2,698.90/4,048.35 = 751.10/x
  3. Step 3: Cross multiply
    2,698.90x = 4,048.35 × 751.10
  4. Step 4: Simplify right side
    2,698.90x = 3,040,692.63
  5. Step 5: Solve for x
    x = 3,040,692.63/2,698.90
  6. Step 6: Final answer
    x = 1,126.64

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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.