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Finding the Fourth Proportional to 7,911.78, 11,846.05 and 5,692.82

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Solution

The fourth proportional to 7,911.78, 11,846.05 and 5,692.82 is: 8,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.78 : 11,846.05 = 5,692.82 : x
  2. Step 2: Convert to fraction form
    7,911.78/11,846.05 = 5,692.82/x
  3. Step 3: Cross multiply
    7,911.78x = 11,846.05 × 5,692.82
  4. Step 4: Simplify right side
    7,911.78x = 67,437,445.74
  5. Step 5: Solve for x
    x = 67,437,445.74/7,911.78
  6. Step 6: Final answer
    x = 8,523.68

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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.