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Finding the Fourth Proportional to 4,188.49, 6,279.49 and 1,998.25

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Solution

The fourth proportional to 4,188.49, 6,279.49 and 1,998.25 is: 2,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.49 : 6,279.49 = 1,998.25 : x
  2. Step 2: Convert to fraction form
    4,188.49/6,279.49 = 1,998.25/x
  3. Step 3: Cross multiply
    4,188.49x = 6,279.49 × 1,998.25
  4. Step 4: Simplify right side
    4,188.49x = 12,547,990.89
  5. Step 5: Solve for x
    x = 12,547,990.89/4,188.49
  6. Step 6: Final answer
    x = 2,995.83

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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.