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Finding the Fourth Proportional to 7,138.71, 10,701.91 and 2,759.24

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Solution

The fourth proportional to 7,138.71, 10,701.91 and 2,759.24 is: 4,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.71 : 10,701.91 = 2,759.24 : x
  2. Step 2: Convert to fraction form
    7,138.71/10,701.91 = 2,759.24/x
  3. Step 3: Cross multiply
    7,138.71x = 10,701.91 × 2,759.24
  4. Step 4: Simplify right side
    7,138.71x = 29,529,070.84
  5. Step 5: Solve for x
    x = 29,529,070.84/7,138.71
  6. Step 6: Final answer
    x = 4,136.47

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1.5x scale

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.