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Finding the Fourth Proportional to 4,846.72, 7,271.20 and 1,514.78

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Solution

The fourth proportional to 4,846.72, 7,271.20 and 1,514.78 is: 2,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.72 : 7,271.20 = 1,514.78 : x
  2. Step 2: Convert to fraction form
    4,846.72/7,271.20 = 1,514.78/x
  3. Step 3: Cross multiply
    4,846.72x = 7,271.20 × 1,514.78
  4. Step 4: Simplify right side
    4,846.72x = 11,014,268.34
  5. Step 5: Solve for x
    x = 11,014,268.34/4,846.72
  6. Step 6: Final answer
    x = 2,272.52

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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.