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Finding the Fourth Proportional to 8,541, 11,786.45 and 6,874.02

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Solution

The fourth proportional to 8,541, 11,786.45 and 6,874.02 is: 9,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 11,786.45 = 6,874.02 : x
  2. Step 2: Convert to fraction form
    8,541/11,786.45 = 6,874.02/x
  3. Step 3: Cross multiply
    8,541x = 11,786.45 × 6,874.02
  4. Step 4: Simplify right side
    8,541x = 81,020,258.66
  5. Step 5: Solve for x
    x = 81,020,258.66/8,541
  6. Step 6: Final answer
    x = 9,486.04

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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.