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Finding the Fourth Proportional to 7,714.60, 11,585 and 7,320.04

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Solution

The fourth proportional to 7,714.60, 11,585 and 7,320.04 is: 10,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.60 : 11,585 = 7,320.04 : x
  2. Step 2: Convert to fraction form
    7,714.60/11,585 = 7,320.04/x
  3. Step 3: Cross multiply
    7,714.60x = 11,585 × 7,320.04
  4. Step 4: Simplify right side
    7,714.60x = 84,802,663.40
  5. Step 5: Solve for x
    x = 84,802,663.40/7,714.60
  6. Step 6: Final answer
    x = 10,992.49

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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.