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Finding the Fourth Proportional to 28,169.40, 42,259.20 and 13,378.20

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Solution

The fourth proportional to 28,169.40, 42,259.20 and 13,378.20 is: 20,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,169.40 : 42,259.20 = 13,378.20 : x
  2. Step 2: Convert to fraction form
    28,169.40/42,259.20 = 13,378.20/x
  3. Step 3: Cross multiply
    28,169.40x = 42,259.20 × 13,378.20
  4. Step 4: Simplify right side
    28,169.40x = 565,352,029.44
  5. Step 5: Solve for x
    x = 565,352,029.44/28,169.40
  6. Step 6: Final answer
    x = 20,069.72

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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.