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Finding the Fourth Proportional to 8,022.84, 11,074.56 and 7,182.02

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Solution

The fourth proportional to 8,022.84, 11,074.56 and 7,182.02 is: 9,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.84 : 11,074.56 = 7,182.02 : x
  2. Step 2: Convert to fraction form
    8,022.84/11,074.56 = 7,182.02/x
  3. Step 3: Cross multiply
    8,022.84x = 11,074.56 × 7,182.02
  4. Step 4: Simplify right side
    8,022.84x = 79,537,711.41
  5. Step 5: Solve for x
    x = 79,537,711.41/8,022.84
  6. Step 6: Final answer
    x = 9,913.91

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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.