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Finding the Fourth Proportional to 13,902.20, 20,853.34 and 6,975.08

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Solution

The fourth proportional to 13,902.20, 20,853.34 and 6,975.08 is: 10,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.20 : 20,853.34 = 6,975.08 : x
  2. Step 2: Convert to fraction form
    13,902.20/20,853.34 = 6,975.08/x
  3. Step 3: Cross multiply
    13,902.20x = 20,853.34 × 6,975.08
  4. Step 4: Simplify right side
    13,902.20x = 145,453,714.77
  5. Step 5: Solve for x
    x = 145,453,714.77/13,902.20
  6. Step 6: Final answer
    x = 10,462.64

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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.