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Finding the Fourth Proportional to 3,815.30, 5,712.14 and 2,425.18

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Solution

The fourth proportional to 3,815.30, 5,712.14 and 2,425.18 is: 3,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.30 : 5,712.14 = 2,425.18 : x
  2. Step 2: Convert to fraction form
    3,815.30/5,712.14 = 2,425.18/x
  3. Step 3: Cross multiply
    3,815.30x = 5,712.14 × 2,425.18
  4. Step 4: Simplify right side
    3,815.30x = 13,852,967.69
  5. Step 5: Solve for x
    x = 13,852,967.69/3,815.30
  6. Step 6: Final answer
    x = 3,630.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.