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Finding the Fourth Proportional to 20,115, 30,172.50 and 13,783.64

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Solution

The fourth proportional to 20,115, 30,172.50 and 13,783.64 is: 20,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115 : 30,172.50 = 13,783.64 : x
  2. Step 2: Convert to fraction form
    20,115/30,172.50 = 13,783.64/x
  3. Step 3: Cross multiply
    20,115x = 30,172.50 × 13,783.64
  4. Step 4: Simplify right side
    20,115x = 415,886,727.04
  5. Step 5: Solve for x
    x = 415,886,727.04/20,115
  6. Step 6: Final answer
    x = 20,675.45

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Double scale
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Similar ratio
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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.