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Finding the Fourth Proportional to 5,815.29, 8,022.51 and 3,875.52

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Solution

The fourth proportional to 5,815.29, 8,022.51 and 3,875.52 is: 5,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.29 : 8,022.51 = 3,875.52 : x
  2. Step 2: Convert to fraction form
    5,815.29/8,022.51 = 3,875.52/x
  3. Step 3: Cross multiply
    5,815.29x = 8,022.51 × 3,875.52
  4. Step 4: Simplify right side
    5,815.29x = 31,091,397.96
  5. Step 5: Solve for x
    x = 31,091,397.96/5,815.29
  6. Step 6: Final answer
    x = 5,346.49

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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.