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Finding the Fourth Proportional to 2,136.87, 3,202.88 and 903.51

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Solution

The fourth proportional to 2,136.87, 3,202.88 and 903.51 is: 1,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.87 : 3,202.88 = 903.51 : x
  2. Step 2: Convert to fraction form
    2,136.87/3,202.88 = 903.51/x
  3. Step 3: Cross multiply
    2,136.87x = 3,202.88 × 903.51
  4. Step 4: Simplify right side
    2,136.87x = 2,893,829.59
  5. Step 5: Solve for x
    x = 2,893,829.59/2,136.87
  6. Step 6: Final answer
    x = 1,354.24

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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.