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Finding the Fourth Proportional to 11,791.60, 16,271.82 and 6,486.28

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Solution

The fourth proportional to 11,791.60, 16,271.82 and 6,486.28 is: 8,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.60 : 16,271.82 = 6,486.28 : x
  2. Step 2: Convert to fraction form
    11,791.60/16,271.82 = 6,486.28/x
  3. Step 3: Cross multiply
    11,791.60x = 16,271.82 × 6,486.28
  4. Step 4: Simplify right side
    11,791.60x = 105,543,580.63
  5. Step 5: Solve for x
    x = 105,543,580.63/11,791.60
  6. Step 6: Final answer
    x = 8,950.74

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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.