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Finding the Fourth Proportional to 2,109.67, 3,164.51 and 549.67

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Solution

The fourth proportional to 2,109.67, 3,164.51 and 549.67 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.67 : 3,164.51 = 549.67 : x
  2. Step 2: Convert to fraction form
    2,109.67/3,164.51 = 549.67/x
  3. Step 3: Cross multiply
    2,109.67x = 3,164.51 × 549.67
  4. Step 4: Simplify right side
    2,109.67x = 1,739,433.46
  5. Step 5: Solve for x
    x = 1,739,433.46/2,109.67
  6. Step 6: Final answer
    x = 824.51

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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.