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Finding the Fourth Proportional to 11,709.79, 16,159.31 and 6,404.49

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Solution

The fourth proportional to 11,709.79, 16,159.31 and 6,404.49 is: 8,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.79 : 16,159.31 = 6,404.49 : x
  2. Step 2: Convert to fraction form
    11,709.79/16,159.31 = 6,404.49/x
  3. Step 3: Cross multiply
    11,709.79x = 16,159.31 × 6,404.49
  4. Step 4: Simplify right side
    11,709.79x = 103,492,185.75
  5. Step 5: Solve for x
    x = 103,492,185.75/11,709.79
  6. Step 6: Final answer
    x = 8,838.09

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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.