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Finding the Fourth Proportional to 13,670.76, 20,505.76 and 3,809.64

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Solution

The fourth proportional to 13,670.76, 20,505.76 and 3,809.64 is: 5,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.76 : 20,505.76 = 3,809.64 : x
  2. Step 2: Convert to fraction form
    13,670.76/20,505.76 = 3,809.64/x
  3. Step 3: Cross multiply
    13,670.76x = 20,505.76 × 3,809.64
  4. Step 4: Simplify right side
    13,670.76x = 78,119,563.53
  5. Step 5: Solve for x
    x = 78,119,563.53/13,670.76
  6. Step 6: Final answer
    x = 5,714.35

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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.