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Finding the Fourth Proportional to 2,009.76, 3,014.61 and 548.91

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Solution

The fourth proportional to 2,009.76, 3,014.61 and 548.91 is: 823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.76 : 3,014.61 = 548.91 : x
  2. Step 2: Convert to fraction form
    2,009.76/3,014.61 = 548.91/x
  3. Step 3: Cross multiply
    2,009.76x = 3,014.61 × 548.91
  4. Step 4: Simplify right side
    2,009.76x = 1,654,749.58
  5. Step 5: Solve for x
    x = 1,654,749.58/2,009.76
  6. Step 6: Final answer
    x = 823.36

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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.