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Finding the Fourth Proportional to 8,589.10, 12,883.65 and 8,205.10

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Solution

The fourth proportional to 8,589.10, 12,883.65 and 8,205.10 is: 12,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.10 : 12,883.65 = 8,205.10 : x
  2. Step 2: Convert to fraction form
    8,589.10/12,883.65 = 8,205.10/x
  3. Step 3: Cross multiply
    8,589.10x = 12,883.65 × 8,205.10
  4. Step 4: Simplify right side
    8,589.10x = 105,711,636.62
  5. Step 5: Solve for x
    x = 105,711,636.62/8,589.10
  6. Step 6: Final answer
    x = 12,307.65

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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.