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Finding the Fourth Proportional to 5,703, 7,869.18 and 3,811.54

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Solution

The fourth proportional to 5,703, 7,869.18 and 3,811.54 is: 5,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703 : 7,869.18 = 3,811.54 : x
  2. Step 2: Convert to fraction form
    5,703/7,869.18 = 3,811.54/x
  3. Step 3: Cross multiply
    5,703x = 7,869.18 × 3,811.54
  4. Step 4: Simplify right side
    5,703x = 29,993,694.34
  5. Step 5: Solve for x
    x = 29,993,694.34/5,703
  6. Step 6: Final answer
    x = 5,259.28

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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.