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Finding the Fourth Proportional to 57,862.86, 86,794.29 and 18,420

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Solution

The fourth proportional to 57,862.86, 86,794.29 and 18,420 is: 27,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,862.86 : 86,794.29 = 18,420 : x
  2. Step 2: Convert to fraction form
    57,862.86/86,794.29 = 18,420/x
  3. Step 3: Cross multiply
    57,862.86x = 86,794.29 × 18,420
  4. Step 4: Simplify right side
    57,862.86x = 1,598,750,821.80
  5. Step 5: Solve for x
    x = 1,598,750,821.80/57,862.86
  6. Step 6: Final answer
    x = 27,630

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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.