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Finding the Fourth Proportional to 9,813.45, 13,536.79 and 6,173.71

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Solution

The fourth proportional to 9,813.45, 13,536.79 and 6,173.71 is: 8,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.45 : 13,536.79 = 6,173.71 : x
  2. Step 2: Convert to fraction form
    9,813.45/13,536.79 = 6,173.71/x
  3. Step 3: Cross multiply
    9,813.45x = 13,536.79 × 6,173.71
  4. Step 4: Simplify right side
    9,813.45x = 83,572,160.50
  5. Step 5: Solve for x
    x = 83,572,160.50/9,813.45
  6. Step 6: Final answer
    x = 8,516.09

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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.