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Finding the Fourth Proportional to 2,010.12, 3,014.86 and 549.38

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Solution

The fourth proportional to 2,010.12, 3,014.86 and 549.38 is: 823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.12 : 3,014.86 = 549.38 : x
  2. Step 2: Convert to fraction form
    2,010.12/3,014.86 = 549.38/x
  3. Step 3: Cross multiply
    2,010.12x = 3,014.86 × 549.38
  4. Step 4: Simplify right side
    2,010.12x = 1,656,303.79
  5. Step 5: Solve for x
    x = 1,656,303.79/2,010.12
  6. Step 6: Final answer
    x = 823.98

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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.