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Finding the Fourth Proportional to 2,009.96, 3,015.12 and 549.24

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Solution

The fourth proportional to 2,009.96, 3,015.12 and 549.24 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.96 : 3,015.12 = 549.24 : x
  2. Step 2: Convert to fraction form
    2,009.96/3,015.12 = 549.24/x
  3. Step 3: Cross multiply
    2,009.96x = 3,015.12 × 549.24
  4. Step 4: Simplify right side
    2,009.96x = 1,656,024.51
  5. Step 5: Solve for x
    x = 1,656,024.51/2,009.96
  6. Step 6: Final answer
    x = 823.91

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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.