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Finding the Fourth Proportional to 7,228, 10,842.08 and 1,756

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Solution

The fourth proportional to 7,228, 10,842.08 and 1,756 is: 2,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228 : 10,842.08 = 1,756 : x
  2. Step 2: Convert to fraction form
    7,228/10,842.08 = 1,756/x
  3. Step 3: Cross multiply
    7,228x = 10,842.08 × 1,756
  4. Step 4: Simplify right side
    7,228x = 19,038,692.48
  5. Step 5: Solve for x
    x = 19,038,692.48/7,228
  6. Step 6: Final answer
    x = 2,634.02

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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.