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Finding the Fourth Proportional to 10,767.63, 14,855.11 and 7,941.79

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Solution

The fourth proportional to 10,767.63, 14,855.11 and 7,941.79 is: 10,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.63 : 14,855.11 = 7,941.79 : x
  2. Step 2: Convert to fraction form
    10,767.63/14,855.11 = 7,941.79/x
  3. Step 3: Cross multiply
    10,767.63x = 14,855.11 × 7,941.79
  4. Step 4: Simplify right side
    10,767.63x = 117,976,164.05
  5. Step 5: Solve for x
    x = 117,976,164.05/10,767.63
  6. Step 6: Final answer
    x = 10,956.56

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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.