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Finding the Fourth Proportional to 2,109.45, 3,164.18 and 549.45

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Solution

The fourth proportional to 2,109.45, 3,164.18 and 549.45 is: 824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.45 : 3,164.18 = 549.45 : x
  2. Step 2: Convert to fraction form
    2,109.45/3,164.18 = 549.45/x
  3. Step 3: Cross multiply
    2,109.45x = 3,164.18 × 549.45
  4. Step 4: Simplify right side
    2,109.45x = 1,738,557.50
  5. Step 5: Solve for x
    x = 1,738,557.50/2,109.45
  6. Step 6: Final answer
    x = 824.18

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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.