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Finding the Fourth Proportional to 7,714.16, 11,568.50 and 2,782.50

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Solution

The fourth proportional to 7,714.16, 11,568.50 and 2,782.50 is: 4,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.16 : 11,568.50 = 2,782.50 : x
  2. Step 2: Convert to fraction form
    7,714.16/11,568.50 = 2,782.50/x
  3. Step 3: Cross multiply
    7,714.16x = 11,568.50 × 2,782.50
  4. Step 4: Simplify right side
    7,714.16x = 32,189,351.25
  5. Step 5: Solve for x
    x = 32,189,351.25/7,714.16
  6. Step 6: Final answer
    x = 4,172.76

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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.