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Finding the Fourth Proportional to 5,706.29, 7,870.51 and 3,814.54

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Solution

The fourth proportional to 5,706.29, 7,870.51 and 3,814.54 is: 5,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.29 : 7,870.51 = 3,814.54 : x
  2. Step 2: Convert to fraction form
    5,706.29/7,870.51 = 3,814.54/x
  3. Step 3: Cross multiply
    5,706.29x = 7,870.51 × 3,814.54
  4. Step 4: Simplify right side
    5,706.29x = 30,022,383.12
  5. Step 5: Solve for x
    x = 30,022,383.12/5,706.29
  6. Step 6: Final answer
    x = 5,261.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.