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Finding the Fourth Proportional to 13,485.25, 20,231.86 and 6,916.04

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Solution

The fourth proportional to 13,485.25, 20,231.86 and 6,916.04 is: 10,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.25 : 20,231.86 = 6,916.04 : x
  2. Step 2: Convert to fraction form
    13,485.25/20,231.86 = 6,916.04/x
  3. Step 3: Cross multiply
    13,485.25x = 20,231.86 × 6,916.04
  4. Step 4: Simplify right side
    13,485.25x = 139,924,353.03
  5. Step 5: Solve for x
    x = 139,924,353.03/13,485.25
  6. Step 6: Final answer
    x = 10,376.10

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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.