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Finding the Fourth Proportional to 4,200.60, 6,300.90 and 1,278.90

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Solution

The fourth proportional to 4,200.60, 6,300.90 and 1,278.90 is: 1,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.60 : 6,300.90 = 1,278.90 : x
  2. Step 2: Convert to fraction form
    4,200.60/6,300.90 = 1,278.90/x
  3. Step 3: Cross multiply
    4,200.60x = 6,300.90 × 1,278.90
  4. Step 4: Simplify right side
    4,200.60x = 8,058,221.01
  5. Step 5: Solve for x
    x = 8,058,221.01/4,200.60
  6. Step 6: Final answer
    x = 1,918.35

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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.