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Finding the Fourth Proportional to 8,510.82, 12,759.33 and 3,827.40

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Solution

The fourth proportional to 8,510.82, 12,759.33 and 3,827.40 is: 5,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.82 : 12,759.33 = 3,827.40 : x
  2. Step 2: Convert to fraction form
    8,510.82/12,759.33 = 3,827.40/x
  3. Step 3: Cross multiply
    8,510.82x = 12,759.33 × 3,827.40
  4. Step 4: Simplify right side
    8,510.82x = 48,835,059.64
  5. Step 5: Solve for x
    x = 48,835,059.64/8,510.82
  6. Step 6: Final answer
    x = 5,738.00

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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.