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Finding the Fourth Proportional to 2,091, 3,136.54 and 552.04

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Solution

The fourth proportional to 2,091, 3,136.54 and 552.04 is: 828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 3,136.54 = 552.04 : x
  2. Step 2: Convert to fraction form
    2,091/3,136.54 = 552.04/x
  3. Step 3: Cross multiply
    2,091x = 3,136.54 × 552.04
  4. Step 4: Simplify right side
    2,091x = 1,731,495.54
  5. Step 5: Solve for x
    x = 1,731,495.54/2,091
  6. Step 6: Final answer
    x = 828.07

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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.