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Finding the Fourth Proportional to 13,897.71, 20,820.44 and 6,869.54

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Solution

The fourth proportional to 13,897.71, 20,820.44 and 6,869.54 is: 10,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.71 : 20,820.44 = 6,869.54 : x
  2. Step 2: Convert to fraction form
    13,897.71/20,820.44 = 6,869.54/x
  3. Step 3: Cross multiply
    13,897.71x = 20,820.44 × 6,869.54
  4. Step 4: Simplify right side
    13,897.71x = 143,026,914.62
  5. Step 5: Solve for x
    x = 143,026,914.62/13,897.71
  6. Step 6: Final answer
    x = 10,291.40

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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.