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Finding the Fourth Proportional to 13,485.21, 20,226.93 and 6,470.20

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Solution

The fourth proportional to 13,485.21, 20,226.93 and 6,470.20 is: 9,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.21 : 20,226.93 = 6,470.20 : x
  2. Step 2: Convert to fraction form
    13,485.21/20,226.93 = 6,470.20/x
  3. Step 3: Cross multiply
    13,485.21x = 20,226.93 × 6,470.20
  4. Step 4: Simplify right side
    13,485.21x = 130,872,282.49
  5. Step 5: Solve for x
    x = 130,872,282.49/13,485.21
  6. Step 6: Final answer
    x = 9,704.88

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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.