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Finding the Fourth Proportional to 11,710.62, 16,161 and 6,405.75

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Solution

The fourth proportional to 11,710.62, 16,161 and 6,405.75 is: 8,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.62 : 16,161 = 6,405.75 : x
  2. Step 2: Convert to fraction form
    11,710.62/16,161 = 6,405.75/x
  3. Step 3: Cross multiply
    11,710.62x = 16,161 × 6,405.75
  4. Step 4: Simplify right side
    11,710.62x = 103,523,325.75
  5. Step 5: Solve for x
    x = 103,523,325.75/11,710.62
  6. Step 6: Final answer
    x = 8,840.12

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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.