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Finding the Fourth Proportional to 18,571.86, 27,862.68 and 9,211.50

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Solution

The fourth proportional to 18,571.86, 27,862.68 and 9,211.50 is: 13,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.86 : 27,862.68 = 9,211.50 : x
  2. Step 2: Convert to fraction form
    18,571.86/27,862.68 = 9,211.50/x
  3. Step 3: Cross multiply
    18,571.86x = 27,862.68 × 9,211.50
  4. Step 4: Simplify right side
    18,571.86x = 256,657,076.82
  5. Step 5: Solve for x
    x = 256,657,076.82/18,571.86
  6. Step 6: Final answer
    x = 13,819.68

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1.5x scale

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.