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Finding the Fourth Proportional to 13,897.71, 20,857.50 and 8,357.31

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Solution

The fourth proportional to 13,897.71, 20,857.50 and 8,357.31 is: 12,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.71 : 20,857.50 = 8,357.31 : x
  2. Step 2: Convert to fraction form
    13,897.71/20,857.50 = 8,357.31/x
  3. Step 3: Cross multiply
    13,897.71x = 20,857.50 × 8,357.31
  4. Step 4: Simplify right side
    13,897.71x = 174,312,593.33
  5. Step 5: Solve for x
    x = 174,312,593.33/13,897.71
  6. Step 6: Final answer
    x = 12,542.54

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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.