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Finding the Fourth Proportional to 13,877.76, 20,817.06 and 4,019.25

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Solution

The fourth proportional to 13,877.76, 20,817.06 and 4,019.25 is: 6,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.76 : 20,817.06 = 4,019.25 : x
  2. Step 2: Convert to fraction form
    13,877.76/20,817.06 = 4,019.25/x
  3. Step 3: Cross multiply
    13,877.76x = 20,817.06 × 4,019.25
  4. Step 4: Simplify right side
    13,877.76x = 83,668,968.41
  5. Step 5: Solve for x
    x = 83,668,968.41/13,877.76
  6. Step 6: Final answer
    x = 6,029.00

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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.