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Finding the Fourth Proportional to 8,196.40, 12,290.28 and 3,574

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Solution

The fourth proportional to 8,196.40, 12,290.28 and 3,574 is: 5,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.40 : 12,290.28 = 3,574 : x
  2. Step 2: Convert to fraction form
    8,196.40/12,290.28 = 3,574/x
  3. Step 3: Cross multiply
    8,196.40x = 12,290.28 × 3,574
  4. Step 4: Simplify right side
    8,196.40x = 43,925,460.72
  5. Step 5: Solve for x
    x = 43,925,460.72/8,196.40
  6. Step 6: Final answer
    x = 5,359.12

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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.