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Finding the Fourth Proportional to 5,678.85, 7,834.64 and 3,553.51

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Solution

The fourth proportional to 5,678.85, 7,834.64 and 3,553.51 is: 4,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.85 : 7,834.64 = 3,553.51 : x
  2. Step 2: Convert to fraction form
    5,678.85/7,834.64 = 3,553.51/x
  3. Step 3: Cross multiply
    5,678.85x = 7,834.64 × 3,553.51
  4. Step 4: Simplify right side
    5,678.85x = 27,840,471.59
  5. Step 5: Solve for x
    x = 27,840,471.59/5,678.85
  6. Step 6: Final answer
    x = 4,902.48

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1.5x scale

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.