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Finding the Fourth Proportional to 2,136.51, 3,205.04 and 750.23

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Solution

The fourth proportional to 2,136.51, 3,205.04 and 750.23 is: 1,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.51 : 3,205.04 = 750.23 : x
  2. Step 2: Convert to fraction form
    2,136.51/3,205.04 = 750.23/x
  3. Step 3: Cross multiply
    2,136.51x = 3,205.04 × 750.23
  4. Step 4: Simplify right side
    2,136.51x = 2,404,509.40
  5. Step 5: Solve for x
    x = 2,404,509.40/2,136.51
  6. Step 6: Final answer
    x = 1,125.44

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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.