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Finding the Fourth Proportional to 4,200, 6,300.12 and 1,122

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Solution

The fourth proportional to 4,200, 6,300.12 and 1,122 is: 1,683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 6,300.12 = 1,122 : x
  2. Step 2: Convert to fraction form
    4,200/6,300.12 = 1,122/x
  3. Step 3: Cross multiply
    4,200x = 6,300.12 × 1,122
  4. Step 4: Simplify right side
    4,200x = 7,068,734.64
  5. Step 5: Solve for x
    x = 7,068,734.64/4,200
  6. Step 6: Final answer
    x = 1,683.03

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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.