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Finding the Fourth Proportional to 11,937, 17,905.46 and 6,742.84

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Solution

The fourth proportional to 11,937, 17,905.46 and 6,742.84 is: 10,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937 : 17,905.46 = 6,742.84 : x
  2. Step 2: Convert to fraction form
    11,937/17,905.46 = 6,742.84/x
  3. Step 3: Cross multiply
    11,937x = 17,905.46 × 6,742.84
  4. Step 4: Simplify right side
    11,937x = 120,733,651.91
  5. Step 5: Solve for x
    x = 120,733,651.91/11,937
  6. Step 6: Final answer
    x = 10,114.24

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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.