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Finding the Fourth Proportional to 8,541, 12,805.26 and 5,760.76

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Solution

The fourth proportional to 8,541, 12,805.26 and 5,760.76 is: 8,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541 : 12,805.26 = 5,760.76 : x
  2. Step 2: Convert to fraction form
    8,541/12,805.26 = 5,760.76/x
  3. Step 3: Cross multiply
    8,541x = 12,805.26 × 5,760.76
  4. Step 4: Simplify right side
    8,541x = 73,768,029.60
  5. Step 5: Solve for x
    x = 73,768,029.60/8,541
  6. Step 6: Final answer
    x = 8,636.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.