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Finding the Fourth Proportional to 20,164.40, 30,235.80 and 8,464.40

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Solution

The fourth proportional to 20,164.40, 30,235.80 and 8,464.40 is: 12,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.40 : 30,235.80 = 8,464.40 : x
  2. Step 2: Convert to fraction form
    20,164.40/30,235.80 = 8,464.40/x
  3. Step 3: Cross multiply
    20,164.40x = 30,235.80 × 8,464.40
  4. Step 4: Simplify right side
    20,164.40x = 255,927,905.52
  5. Step 5: Solve for x
    x = 255,927,905.52/20,164.40
  6. Step 6: Final answer
    x = 12,692.07

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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.