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Finding the Fourth Proportional to 2,136.86, 3,204.65 and 904.24

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Solution

The fourth proportional to 2,136.86, 3,204.65 and 904.24 is: 1,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.86 : 3,204.65 = 904.24 : x
  2. Step 2: Convert to fraction form
    2,136.86/3,204.65 = 904.24/x
  3. Step 3: Cross multiply
    2,136.86x = 3,204.65 × 904.24
  4. Step 4: Simplify right side
    2,136.86x = 2,897,772.72
  5. Step 5: Solve for x
    x = 2,897,772.72/2,136.86
  6. Step 6: Final answer
    x = 1,356.09

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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.