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Finding the Fourth Proportional to 5,678.80, 7,832.30 and 3,690

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Solution

The fourth proportional to 5,678.80, 7,832.30 and 3,690 is: 5,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.80 : 7,832.30 = 3,690 : x
  2. Step 2: Convert to fraction form
    5,678.80/7,832.30 = 3,690/x
  3. Step 3: Cross multiply
    5,678.80x = 7,832.30 × 3,690
  4. Step 4: Simplify right side
    5,678.80x = 28,901,168.55
  5. Step 5: Solve for x
    x = 28,901,168.55/5,678.80
  6. Step 6: Final answer
    x = 5,089.31

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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.