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Finding the Fourth Proportional to 5,115.16, 7,672.74 and 1,652.68

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Solution

The fourth proportional to 5,115.16, 7,672.74 and 1,652.68 is: 2,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.16 : 7,672.74 = 1,652.68 : x
  2. Step 2: Convert to fraction form
    5,115.16/7,672.74 = 1,652.68/x
  3. Step 3: Cross multiply
    5,115.16x = 7,672.74 × 1,652.68
  4. Step 4: Simplify right side
    5,115.16x = 12,680,583.94
  5. Step 5: Solve for x
    x = 12,680,583.94/5,115.16
  6. Step 6: Final answer
    x = 2,479.02

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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.