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Finding the Fourth Proportional to 4,451.68, 6,670.16 and 3,146.72

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Solution

The fourth proportional to 4,451.68, 6,670.16 and 3,146.72 is: 4,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.68 : 6,670.16 = 3,146.72 : x
  2. Step 2: Convert to fraction form
    4,451.68/6,670.16 = 3,146.72/x
  3. Step 3: Cross multiply
    4,451.68x = 6,670.16 × 3,146.72
  4. Step 4: Simplify right side
    4,451.68x = 20,989,125.88
  5. Step 5: Solve for x
    x = 20,989,125.88/4,451.68
  6. Step 6: Final answer
    x = 4,714.88

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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.