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Finding the Fourth Proportional to 5,383.98, 8,071.08 and 1,920.42

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Solution

The fourth proportional to 5,383.98, 8,071.08 and 1,920.42 is: 2,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.98 : 8,071.08 = 1,920.42 : x
  2. Step 2: Convert to fraction form
    5,383.98/8,071.08 = 1,920.42/x
  3. Step 3: Cross multiply
    5,383.98x = 8,071.08 × 1,920.42
  4. Step 4: Simplify right side
    5,383.98x = 15,499,863.45
  5. Step 5: Solve for x
    x = 15,499,863.45/5,383.98
  6. Step 6: Final answer
    x = 2,878.89

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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.