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Finding the Fourth Proportional to 15,736.80, 23,662.80 and 13,202.40

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Solution

The fourth proportional to 15,736.80, 23,662.80 and 13,202.40 is: 19,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.80 : 23,662.80 = 13,202.40 : x
  2. Step 2: Convert to fraction form
    15,736.80/23,662.80 = 13,202.40/x
  3. Step 3: Cross multiply
    15,736.80x = 23,662.80 × 13,202.40
  4. Step 4: Simplify right side
    15,736.80x = 312,405,750.72
  5. Step 5: Solve for x
    x = 312,405,750.72/15,736.80
  6. Step 6: Final answer
    x = 19,851.92

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1.5x scale

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.