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Finding the Fourth Proportional to 5,677.04, 7,834 and 3,320

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Solution

The fourth proportional to 5,677.04, 7,834 and 3,320 is: 4,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.04 : 7,834 = 3,320 : x
  2. Step 2: Convert to fraction form
    5,677.04/7,834 = 3,320/x
  3. Step 3: Cross multiply
    5,677.04x = 7,834 × 3,320
  4. Step 4: Simplify right side
    5,677.04x = 26,008,880
  5. Step 5: Solve for x
    x = 26,008,880/5,677.04
  6. Step 6: Final answer
    x = 4,581.42

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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.