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Finding the Fourth Proportional to 8,633.83, 12,950.75 and 5,711.45

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Solution

The fourth proportional to 8,633.83, 12,950.75 and 5,711.45 is: 8,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.83 : 12,950.75 = 5,711.45 : x
  2. Step 2: Convert to fraction form
    8,633.83/12,950.75 = 5,711.45/x
  3. Step 3: Cross multiply
    8,633.83x = 12,950.75 × 5,711.45
  4. Step 4: Simplify right side
    8,633.83x = 73,967,561.09
  5. Step 5: Solve for x
    x = 73,967,561.09/8,633.83
  6. Step 6: Final answer
    x = 8,567.18

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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.