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Finding the Fourth Proportional to 9,141.50, 13,710.21 and 2,568.35

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Solution

The fourth proportional to 9,141.50, 13,710.21 and 2,568.35 is: 3,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.50 : 13,710.21 = 2,568.35 : x
  2. Step 2: Convert to fraction form
    9,141.50/13,710.21 = 2,568.35/x
  3. Step 3: Cross multiply
    9,141.50x = 13,710.21 × 2,568.35
  4. Step 4: Simplify right side
    9,141.50x = 35,212,617.85
  5. Step 5: Solve for x
    x = 35,212,617.85/9,141.50
  6. Step 6: Final answer
    x = 3,851.95

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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.