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Finding the Fourth Proportional to 7,889.55, 11,825.37 and 3,985.71

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Solution

The fourth proportional to 7,889.55, 11,825.37 and 3,985.71 is: 5,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.55 : 11,825.37 = 3,985.71 : x
  2. Step 2: Convert to fraction form
    7,889.55/11,825.37 = 3,985.71/x
  3. Step 3: Cross multiply
    7,889.55x = 11,825.37 × 3,985.71
  4. Step 4: Simplify right side
    7,889.55x = 47,132,495.46
  5. Step 5: Solve for x
    x = 47,132,495.46/7,889.55
  6. Step 6: Final answer
    x = 5,974.04

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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.