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Finding the Fourth Proportional to 7,226, 10,840.68 and 3,714.68

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Solution

The fourth proportional to 7,226, 10,840.68 and 3,714.68 is: 5,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226 : 10,840.68 = 3,714.68 : x
  2. Step 2: Convert to fraction form
    7,226/10,840.68 = 3,714.68/x
  3. Step 3: Cross multiply
    7,226x = 10,840.68 × 3,714.68
  4. Step 4: Simplify right side
    7,226x = 40,269,657.18
  5. Step 5: Solve for x
    x = 40,269,657.18/7,226
  6. Step 6: Final answer
    x = 5,572.88

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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.