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Finding the Fourth Proportional to 15,196.60, 20,980.79 and 9,821.85

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Solution

The fourth proportional to 15,196.60, 20,980.79 and 9,821.85 is: 13,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.60 : 20,980.79 = 9,821.85 : x
  2. Step 2: Convert to fraction form
    15,196.60/20,980.79 = 9,821.85/x
  3. Step 3: Cross multiply
    15,196.60x = 20,980.79 × 9,821.85
  4. Step 4: Simplify right side
    15,196.60x = 206,070,172.26
  5. Step 5: Solve for x
    x = 206,070,172.26/15,196.60
  6. Step 6: Final answer
    x = 13,560.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.