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Finding the Fourth Proportional to 5,254.14, 7,857.54 and 4,672.56

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Solution

The fourth proportional to 5,254.14, 7,857.54 and 4,672.56 is: 6,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.14 : 7,857.54 = 4,672.56 : x
  2. Step 2: Convert to fraction form
    5,254.14/7,857.54 = 4,672.56/x
  3. Step 3: Cross multiply
    5,254.14x = 7,857.54 × 4,672.56
  4. Step 4: Simplify right side
    5,254.14x = 36,714,827.10
  5. Step 5: Solve for x
    x = 36,714,827.10/5,254.14
  6. Step 6: Final answer
    x = 6,987.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.