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Finding the Fourth Proportional to 7,714.17, 11,571.21 and 2,520

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Solution

The fourth proportional to 7,714.17, 11,571.21 and 2,520 is: 3,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.17 : 11,571.21 = 2,520 : x
  2. Step 2: Convert to fraction form
    7,714.17/11,571.21 = 2,520/x
  3. Step 3: Cross multiply
    7,714.17x = 11,571.21 × 2,520
  4. Step 4: Simplify right side
    7,714.17x = 29,159,449.20
  5. Step 5: Solve for x
    x = 29,159,449.20/7,714.17
  6. Step 6: Final answer
    x = 3,779.99

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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.