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Finding the Fourth Proportional to 5,086.84, 7,630.98 and 1,798.84

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Solution

The fourth proportional to 5,086.84, 7,630.98 and 1,798.84 is: 2,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.84 : 7,630.98 = 1,798.84 : x
  2. Step 2: Convert to fraction form
    5,086.84/7,630.98 = 1,798.84/x
  3. Step 3: Cross multiply
    5,086.84x = 7,630.98 × 1,798.84
  4. Step 4: Simplify right side
    5,086.84x = 13,726,912.06
  5. Step 5: Solve for x
    x = 13,726,912.06/5,086.84
  6. Step 6: Final answer
    x = 2,698.51

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Half scale
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Double scale
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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.