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Finding the Fourth Proportional to 8,543.61, 11,786.81 and 5,185.22

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Solution

The fourth proportional to 8,543.61, 11,786.81 and 5,185.22 is: 7,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.61 : 11,786.81 = 5,185.22 : x
  2. Step 2: Convert to fraction form
    8,543.61/11,786.81 = 5,185.22/x
  3. Step 3: Cross multiply
    8,543.61x = 11,786.81 × 5,185.22
  4. Step 4: Simplify right side
    8,543.61x = 61,117,118.09
  5. Step 5: Solve for x
    x = 61,117,118.09/8,543.61
  6. Step 6: Final answer
    x = 7,153.55

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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.