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Finding the Fourth Proportional to 2,009.45, 3,014.18 and 548.62

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Solution

The fourth proportional to 2,009.45, 3,014.18 and 548.62 is: 822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.45 : 3,014.18 = 548.62 : x
  2. Step 2: Convert to fraction form
    2,009.45/3,014.18 = 548.62/x
  3. Step 3: Cross multiply
    2,009.45x = 3,014.18 × 548.62
  4. Step 4: Simplify right side
    2,009.45x = 1,653,637.04
  5. Step 5: Solve for x
    x = 1,653,637.04/2,009.45
  6. Step 6: Final answer
    x = 822.93

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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.