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Finding the Fourth Proportional to 3,116.45, 4,675.58 and 925.23

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Solution

The fourth proportional to 3,116.45, 4,675.58 and 925.23 is: 1,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.45 : 4,675.58 = 925.23 : x
  2. Step 2: Convert to fraction form
    3,116.45/4,675.58 = 925.23/x
  3. Step 3: Cross multiply
    3,116.45x = 4,675.58 × 925.23
  4. Step 4: Simplify right side
    3,116.45x = 4,325,982.26
  5. Step 5: Solve for x
    x = 4,325,982.26/3,116.45
  6. Step 6: Final answer
    x = 1,388.11

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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.