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Finding the Fourth Proportional to 13,565.20, 20,347.80 and 11,378.20

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Solution

The fourth proportional to 13,565.20, 20,347.80 and 11,378.20 is: 17,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.20 : 20,347.80 = 11,378.20 : x
  2. Step 2: Convert to fraction form
    13,565.20/20,347.80 = 11,378.20/x
  3. Step 3: Cross multiply
    13,565.20x = 20,347.80 × 11,378.20
  4. Step 4: Simplify right side
    13,565.20x = 231,521,337.96
  5. Step 5: Solve for x
    x = 231,521,337.96/13,565.20
  6. Step 6: Final answer
    x = 17,067.30

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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.