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Finding the Fourth Proportional to 20,711.60, 31,099.80 and 11,963.60

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Solution

The fourth proportional to 20,711.60, 31,099.80 and 11,963.60 is: 17,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.60 : 31,099.80 = 11,963.60 : x
  2. Step 2: Convert to fraction form
    20,711.60/31,099.80 = 11,963.60/x
  3. Step 3: Cross multiply
    20,711.60x = 31,099.80 × 11,963.60
  4. Step 4: Simplify right side
    20,711.60x = 372,065,567.28
  5. Step 5: Solve for x
    x = 372,065,567.28/20,711.60
  6. Step 6: Final answer
    x = 17,964.12

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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.