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Finding the Fourth Proportional to 20,476.64, 30,714.04 and 6,436.32

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Solution

The fourth proportional to 20,476.64, 30,714.04 and 6,436.32 is: 9,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.64 : 30,714.04 = 6,436.32 : x
  2. Step 2: Convert to fraction form
    20,476.64/30,714.04 = 6,436.32/x
  3. Step 3: Cross multiply
    20,476.64x = 30,714.04 × 6,436.32
  4. Step 4: Simplify right side
    20,476.64x = 197,685,389.93
  5. Step 5: Solve for x
    x = 197,685,389.93/20,476.64
  6. Step 6: Final answer
    x = 9,654.19

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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.