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Finding the Fourth Proportional to 5,674, 7,830.36 and 3,190

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Solution

The fourth proportional to 5,674, 7,830.36 and 3,190 is: 4,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674 : 7,830.36 = 3,190 : x
  2. Step 2: Convert to fraction form
    5,674/7,830.36 = 3,190/x
  3. Step 3: Cross multiply
    5,674x = 7,830.36 × 3,190
  4. Step 4: Simplify right side
    5,674x = 24,978,848.40
  5. Step 5: Solve for x
    x = 24,978,848.40/5,674
  6. Step 6: Final answer
    x = 4,402.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.