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Finding the Fourth Proportional to 15,719.20, 23,566.80 and 7,933.60

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Solution

The fourth proportional to 15,719.20, 23,566.80 and 7,933.60 is: 11,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.20 : 23,566.80 = 7,933.60 : x
  2. Step 2: Convert to fraction form
    15,719.20/23,566.80 = 7,933.60/x
  3. Step 3: Cross multiply
    15,719.20x = 23,566.80 × 7,933.60
  4. Step 4: Simplify right side
    15,719.20x = 186,969,564.48
  5. Step 5: Solve for x
    x = 186,969,564.48/15,719.20
  6. Step 6: Final answer
    x = 11,894.34

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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.