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Finding the Fourth Proportional to 2,009.72, 3,014.40 and 548.80

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Solution

The fourth proportional to 2,009.72, 3,014.40 and 548.80 is: 823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.72 : 3,014.40 = 548.80 : x
  2. Step 2: Convert to fraction form
    2,009.72/3,014.40 = 548.80/x
  3. Step 3: Cross multiply
    2,009.72x = 3,014.40 × 548.80
  4. Step 4: Simplify right side
    2,009.72x = 1,654,302.72
  5. Step 5: Solve for x
    x = 1,654,302.72/2,009.72
  6. Step 6: Final answer
    x = 823.15

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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.