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Finding the Fourth Proportional to 18,420.47, 27,634.64 and 5,941.20

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Solution

The fourth proportional to 18,420.47, 27,634.64 and 5,941.20 is: 8,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420.47 : 27,634.64 = 5,941.20 : x
  2. Step 2: Convert to fraction form
    18,420.47/27,634.64 = 5,941.20/x
  3. Step 3: Cross multiply
    18,420.47x = 27,634.64 × 5,941.20
  4. Step 4: Simplify right side
    18,420.47x = 164,182,893.46
  5. Step 5: Solve for x
    x = 164,182,893.46/18,420.47
  6. Step 6: Final answer
    x = 8,913.07

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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.