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Finding the Fourth Proportional to 5,152.10, 7,721.15 and 4,639.97

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Solution

The fourth proportional to 5,152.10, 7,721.15 and 4,639.97 is: 6,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.10 : 7,721.15 = 4,639.97 : x
  2. Step 2: Convert to fraction form
    5,152.10/7,721.15 = 4,639.97/x
  3. Step 3: Cross multiply
    5,152.10x = 7,721.15 × 4,639.97
  4. Step 4: Simplify right side
    5,152.10x = 35,825,842.56
  5. Step 5: Solve for x
    x = 35,825,842.56/5,152.10
  6. Step 6: Final answer
    x = 6,953.65

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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.