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Finding the Fourth Proportional to 13,811.60, 20,715.20 and 4,577.60

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Solution

The fourth proportional to 13,811.60, 20,715.20 and 4,577.60 is: 6,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.60 : 20,715.20 = 4,577.60 : x
  2. Step 2: Convert to fraction form
    13,811.60/20,715.20 = 4,577.60/x
  3. Step 3: Cross multiply
    13,811.60x = 20,715.20 × 4,577.60
  4. Step 4: Simplify right side
    13,811.60x = 94,825,899.52
  5. Step 5: Solve for x
    x = 94,825,899.52/13,811.60
  6. Step 6: Final answer
    x = 6,865.67

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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.