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Finding the Fourth Proportional to 9,277.91, 12,796.08 and 8,156.46

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Solution

The fourth proportional to 9,277.91, 12,796.08 and 8,156.46 is: 11,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.91 : 12,796.08 = 8,156.46 : x
  2. Step 2: Convert to fraction form
    9,277.91/12,796.08 = 8,156.46/x
  3. Step 3: Cross multiply
    9,277.91x = 12,796.08 × 8,156.46
  4. Step 4: Simplify right side
    9,277.91x = 104,370,732.08
  5. Step 5: Solve for x
    x = 104,370,732.08/9,277.91
  6. Step 6: Final answer
    x = 11,249.38

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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.