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Finding the Fourth Proportional to 3,012.40, 4,519.08 and 931.92

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Solution

The fourth proportional to 3,012.40, 4,519.08 and 931.92 is: 1,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.40 : 4,519.08 = 931.92 : x
  2. Step 2: Convert to fraction form
    3,012.40/4,519.08 = 931.92/x
  3. Step 3: Cross multiply
    3,012.40x = 4,519.08 × 931.92
  4. Step 4: Simplify right side
    3,012.40x = 4,211,421.03
  5. Step 5: Solve for x
    x = 4,211,421.03/3,012.40
  6. Step 6: Final answer
    x = 1,398.03

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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.