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Finding the Fourth Proportional to 13,688.01, 20,532 and 3,299.76

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Solution

The fourth proportional to 13,688.01, 20,532 and 3,299.76 is: 4,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.01 : 20,532 = 3,299.76 : x
  2. Step 2: Convert to fraction form
    13,688.01/20,532 = 3,299.76/x
  3. Step 3: Cross multiply
    13,688.01x = 20,532 × 3,299.76
  4. Step 4: Simplify right side
    13,688.01x = 67,750,672.32
  5. Step 5: Solve for x
    x = 67,750,672.32/13,688.01
  6. Step 6: Final answer
    x = 4,949.64

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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.