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Finding the Fourth Proportional to 13,465.20, 20,023.35 and 13,049.40

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Solution

The fourth proportional to 13,465.20, 20,023.35 and 13,049.40 is: 19,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.20 : 20,023.35 = 13,049.40 : x
  2. Step 2: Convert to fraction form
    13,465.20/20,023.35 = 13,049.40/x
  3. Step 3: Cross multiply
    13,465.20x = 20,023.35 × 13,049.40
  4. Step 4: Simplify right side
    13,465.20x = 261,292,703.49
  5. Step 5: Solve for x
    x = 261,292,703.49/13,465.20
  6. Step 6: Final answer
    x = 19,405.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.