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Finding the Fourth Proportional to 2,109, 3,162.96 and 877.53

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Solution

The fourth proportional to 2,109, 3,162.96 and 877.53 is: 1,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 3,162.96 = 877.53 : x
  2. Step 2: Convert to fraction form
    2,109/3,162.96 = 877.53/x
  3. Step 3: Cross multiply
    2,109x = 3,162.96 × 877.53
  4. Step 4: Simplify right side
    2,109x = 2,775,592.29
  5. Step 5: Solve for x
    x = 2,775,592.29/2,109
  6. Step 6: Final answer
    x = 1,316.07

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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.