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Finding the Fourth Proportional to 11,809, 16,296.42 and 6,503.80

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Solution

The fourth proportional to 11,809, 16,296.42 and 6,503.80 is: 8,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809 : 16,296.42 = 6,503.80 : x
  2. Step 2: Convert to fraction form
    11,809/16,296.42 = 6,503.80/x
  3. Step 3: Cross multiply
    11,809x = 16,296.42 × 6,503.80
  4. Step 4: Simplify right side
    11,809x = 105,988,656.40
  5. Step 5: Solve for x
    x = 105,988,656.40/11,809
  6. Step 6: Final answer
    x = 8,975.24

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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.