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Finding the Fourth Proportional to 7,914.30, 11,924.24 and 7,164.74

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Solution

The fourth proportional to 7,914.30, 11,924.24 and 7,164.74 is: 10,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.30 : 11,924.24 = 7,164.74 : x
  2. Step 2: Convert to fraction form
    7,914.30/11,924.24 = 7,164.74/x
  3. Step 3: Cross multiply
    7,914.30x = 11,924.24 × 7,164.74
  4. Step 4: Simplify right side
    7,914.30x = 85,434,079.30
  5. Step 5: Solve for x
    x = 85,434,079.30/7,914.30
  6. Step 6: Final answer
    x = 10,794.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.