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Finding the Fourth Proportional to 19,146.88, 28,714.74 and 7,457.32

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Solution

The fourth proportional to 19,146.88, 28,714.74 and 7,457.32 is: 11,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,146.88 : 28,714.74 = 7,457.32 : x
  2. Step 2: Convert to fraction form
    19,146.88/28,714.74 = 7,457.32/x
  3. Step 3: Cross multiply
    19,146.88x = 28,714.74 × 7,457.32
  4. Step 4: Simplify right side
    19,146.88x = 214,135,004.90
  5. Step 5: Solve for x
    x = 214,135,004.90/19,146.88
  6. Step 6: Final answer
    x = 11,183.81

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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.