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Finding the Fourth Proportional to 13,411.20, 20,129.60 and 11,465.60

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Solution

The fourth proportional to 13,411.20, 20,129.60 and 11,465.60 is: 17,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.20 : 20,129.60 = 11,465.60 : x
  2. Step 2: Convert to fraction form
    13,411.20/20,129.60 = 11,465.60/x
  3. Step 3: Cross multiply
    13,411.20x = 20,129.60 × 11,465.60
  4. Step 4: Simplify right side
    13,411.20x = 230,797,941.76
  5. Step 5: Solve for x
    x = 230,797,941.76/13,411.20
  6. Step 6: Final answer
    x = 17,209.34

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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.