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Finding the Fourth Proportional to 6,411.80, 9,608.70 and 5,097.80

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Solution

The fourth proportional to 6,411.80, 9,608.70 and 5,097.80 is: 7,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.80 : 9,608.70 = 5,097.80 : x
  2. Step 2: Convert to fraction form
    6,411.80/9,608.70 = 5,097.80/x
  3. Step 3: Cross multiply
    6,411.80x = 9,608.70 × 5,097.80
  4. Step 4: Simplify right side
    6,411.80x = 48,983,230.86
  5. Step 5: Solve for x
    x = 48,983,230.86/6,411.80
  6. Step 6: Final answer
    x = 7,639.54

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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.