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Finding the Fourth Proportional to 11,709.84, 16,159.98 and 6,405

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Solution

The fourth proportional to 11,709.84, 16,159.98 and 6,405 is: 8,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.84 : 16,159.98 = 6,405 : x
  2. Step 2: Convert to fraction form
    11,709.84/16,159.98 = 6,405/x
  3. Step 3: Cross multiply
    11,709.84x = 16,159.98 × 6,405
  4. Step 4: Simplify right side
    11,709.84x = 103,504,671.90
  5. Step 5: Solve for x
    x = 103,504,671.90/11,709.84
  6. Step 6: Final answer
    x = 8,839.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.