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Finding the Fourth Proportional to 2,109.94, 3,164.95 and 549.85

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Solution

The fourth proportional to 2,109.94, 3,164.95 and 549.85 is: 824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.94 : 3,164.95 = 549.85 : x
  2. Step 2: Convert to fraction form
    2,109.94/3,164.95 = 549.85/x
  3. Step 3: Cross multiply
    2,109.94x = 3,164.95 × 549.85
  4. Step 4: Simplify right side
    2,109.94x = 1,740,247.76
  5. Step 5: Solve for x
    x = 1,740,247.76/2,109.94
  6. Step 6: Final answer
    x = 824.79

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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.