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Finding the Fourth Proportional to 11,563.94, 15,944.93 and 8,543.42

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Solution

The fourth proportional to 11,563.94, 15,944.93 and 8,543.42 is: 11,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.94 : 15,944.93 = 8,543.42 : x
  2. Step 2: Convert to fraction form
    11,563.94/15,944.93 = 8,543.42/x
  3. Step 3: Cross multiply
    11,563.94x = 15,944.93 × 8,543.42
  4. Step 4: Simplify right side
    11,563.94x = 136,224,231.01
  5. Step 5: Solve for x
    x = 136,224,231.01/11,563.94
  6. Step 6: Final answer
    x = 11,780.09

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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.