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Finding the Fourth Proportional to 5,157.64, 7,714.50 and 3,072.88

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Solution

The fourth proportional to 5,157.64, 7,714.50 and 3,072.88 is: 4,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.64 : 7,714.50 = 3,072.88 : x
  2. Step 2: Convert to fraction form
    5,157.64/7,714.50 = 3,072.88/x
  3. Step 3: Cross multiply
    5,157.64x = 7,714.50 × 3,072.88
  4. Step 4: Simplify right side
    5,157.64x = 23,705,732.76
  5. Step 5: Solve for x
    x = 23,705,732.76/5,157.64
  6. Step 6: Final answer
    x = 4,596.24

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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.