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Finding the Fourth Proportional to 9,100.82, 13,579.85 and 8,543.54

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Solution

The fourth proportional to 9,100.82, 13,579.85 and 8,543.54 is: 12,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.82 : 13,579.85 = 8,543.54 : x
  2. Step 2: Convert to fraction form
    9,100.82/13,579.85 = 8,543.54/x
  3. Step 3: Cross multiply
    9,100.82x = 13,579.85 × 8,543.54
  4. Step 4: Simplify right side
    9,100.82x = 116,019,881.05
  5. Step 5: Solve for x
    x = 116,019,881.05/9,100.82
  6. Step 6: Final answer
    x = 12,748.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.