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Finding the Fourth Proportional to 5,679.45, 7,836.35 and 3,320.46

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Solution

The fourth proportional to 5,679.45, 7,836.35 and 3,320.46 is: 4,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.45 : 7,836.35 = 3,320.46 : x
  2. Step 2: Convert to fraction form
    5,679.45/7,836.35 = 3,320.46/x
  3. Step 3: Cross multiply
    5,679.45x = 7,836.35 × 3,320.46
  4. Step 4: Simplify right side
    5,679.45x = 26,020,270.12
  5. Step 5: Solve for x
    x = 26,020,270.12/5,679.45
  6. Step 6: Final answer
    x = 4,581.48

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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.