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Finding the Fourth Proportional to 13,579, 20,368.62 and 5,371

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Solution

The fourth proportional to 13,579, 20,368.62 and 5,371 is: 8,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,579 : 20,368.62 = 5,371 : x
  2. Step 2: Convert to fraction form
    13,579/20,368.62 = 5,371/x
  3. Step 3: Cross multiply
    13,579x = 20,368.62 × 5,371
  4. Step 4: Simplify right side
    13,579x = 109,399,858.02
  5. Step 5: Solve for x
    x = 109,399,858.02/13,579
  6. Step 6: Final answer
    x = 8,056.55

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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.