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Finding the Fourth Proportional to 2,010.65, 3,016.05 and 549.80

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Solution

The fourth proportional to 2,010.65, 3,016.05 and 549.80 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.65 : 3,016.05 = 549.80 : x
  2. Step 2: Convert to fraction form
    2,010.65/3,016.05 = 549.80/x
  3. Step 3: Cross multiply
    2,010.65x = 3,016.05 × 549.80
  4. Step 4: Simplify right side
    2,010.65x = 1,658,209.21
  5. Step 5: Solve for x
    x = 1,658,209.21/2,010.65
  6. Step 6: Final answer
    x = 824.72

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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.