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Finding the Fourth Proportional to 2,136.79, 3,205.54 and 904.22

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Solution

The fourth proportional to 2,136.79, 3,205.54 and 904.22 is: 1,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.79 : 3,205.54 = 904.22 : x
  2. Step 2: Convert to fraction form
    2,136.79/3,205.54 = 904.22/x
  3. Step 3: Cross multiply
    2,136.79x = 3,205.54 × 904.22
  4. Step 4: Simplify right side
    2,136.79x = 2,898,510.50
  5. Step 5: Solve for x
    x = 2,898,510.50/2,136.79
  6. Step 6: Final answer
    x = 1,356.48

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Double scale
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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.