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Finding the Fourth Proportional to 6,411.06, 9,612.99 and 2,406.78

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Solution

The fourth proportional to 6,411.06, 9,612.99 and 2,406.78 is: 3,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.06 : 9,612.99 = 2,406.78 : x
  2. Step 2: Convert to fraction form
    6,411.06/9,612.99 = 2,406.78/x
  3. Step 3: Cross multiply
    6,411.06x = 9,612.99 × 2,406.78
  4. Step 4: Simplify right side
    6,411.06x = 23,136,352.07
  5. Step 5: Solve for x
    x = 23,136,352.07/6,411.06
  6. Step 6: Final answer
    x = 3,608.82

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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.