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Finding the Fourth Proportional to 13,420.40, 20,116.20 and 5,097.20

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Solution

The fourth proportional to 13,420.40, 20,116.20 and 5,097.20 is: 7,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.40 : 20,116.20 = 5,097.20 : x
  2. Step 2: Convert to fraction form
    13,420.40/20,116.20 = 5,097.20/x
  3. Step 3: Cross multiply
    13,420.40x = 20,116.20 × 5,097.20
  4. Step 4: Simplify right side
    13,420.40x = 102,536,294.64
  5. Step 5: Solve for x
    x = 102,536,294.64/13,420.40
  6. Step 6: Final answer
    x = 7,640.33

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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.