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Finding the Fourth Proportional to 7,134.51, 10,699.10 and 2,453.20

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Solution

The fourth proportional to 7,134.51, 10,699.10 and 2,453.20 is: 3,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.51 : 10,699.10 = 2,453.20 : x
  2. Step 2: Convert to fraction form
    7,134.51/10,699.10 = 2,453.20/x
  3. Step 3: Cross multiply
    7,134.51x = 10,699.10 × 2,453.20
  4. Step 4: Simplify right side
    7,134.51x = 26,246,978.62
  5. Step 5: Solve for x
    x = 26,246,978.62/7,134.51
  6. Step 6: Final answer
    x = 3,678.88

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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.