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Finding the Fourth Proportional to 2,010.18, 3,015.58 and 549.38

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Solution

The fourth proportional to 2,010.18, 3,015.58 and 549.38 is: 824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.18 : 3,015.58 = 549.38 : x
  2. Step 2: Convert to fraction form
    2,010.18/3,015.58 = 549.38/x
  3. Step 3: Cross multiply
    2,010.18x = 3,015.58 × 549.38
  4. Step 4: Simplify right side
    2,010.18x = 1,656,699.34
  5. Step 5: Solve for x
    x = 1,656,699.34/2,010.18
  6. Step 6: Final answer
    x = 824.15

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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.