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Finding the Fourth Proportional to 4,188.35, 6,283.35 and 1,266.83

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Solution

The fourth proportional to 4,188.35, 6,283.35 and 1,266.83 is: 1,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.35 : 6,283.35 = 1,266.83 : x
  2. Step 2: Convert to fraction form
    4,188.35/6,283.35 = 1,266.83/x
  3. Step 3: Cross multiply
    4,188.35x = 6,283.35 × 1,266.83
  4. Step 4: Simplify right side
    4,188.35x = 7,959,936.28
  5. Step 5: Solve for x
    x = 7,959,936.28/4,188.35
  6. Step 6: Final answer
    x = 1,900.49

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1.5x scale

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.