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Finding the Fourth Proportional to 11,987.66, 16,543.23 and 6,683

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Solution

The fourth proportional to 11,987.66, 16,543.23 and 6,683 is: 9,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.66 : 16,543.23 = 6,683 : x
  2. Step 2: Convert to fraction form
    11,987.66/16,543.23 = 6,683/x
  3. Step 3: Cross multiply
    11,987.66x = 16,543.23 × 6,683
  4. Step 4: Simplify right side
    11,987.66x = 110,558,406.09
  5. Step 5: Solve for x
    x = 110,558,406.09/11,987.66
  6. Step 6: Final answer
    x = 9,222.68

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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.