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Finding the Fourth Proportional to 11,711.14, 16,160.64 and 6,404.89

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Solution

The fourth proportional to 11,711.14, 16,160.64 and 6,404.89 is: 8,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.14 : 16,160.64 = 6,404.89 : x
  2. Step 2: Convert to fraction form
    11,711.14/16,160.64 = 6,404.89/x
  3. Step 3: Cross multiply
    11,711.14x = 16,160.64 × 6,404.89
  4. Step 4: Simplify right side
    11,711.14x = 103,507,121.53
  5. Step 5: Solve for x
    x = 103,507,121.53/11,711.14
  6. Step 6: Final answer
    x = 8,838.35

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1.5x scale

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.