Home / 7,825.08-11,731.20-3,663.06

Finding the Fourth Proportional to 7,825.08, 11,731.20 and 3,663.06

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Solution

The fourth proportional to 7,825.08, 11,731.20 and 3,663.06 is: 5,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.08 : 11,731.20 = 3,663.06 : x
  2. Step 2: Convert to fraction form
    7,825.08/11,731.20 = 3,663.06/x
  3. Step 3: Cross multiply
    7,825.08x = 11,731.20 × 3,663.06
  4. Step 4: Simplify right side
    7,825.08x = 42,972,089.47
  5. Step 5: Solve for x
    x = 42,972,089.47/7,825.08
  6. Step 6: Final answer
    x = 5,491.58

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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.