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Finding the Fourth Proportional to 2,672.61, 4,009.04 and 824.98

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Solution

The fourth proportional to 2,672.61, 4,009.04 and 824.98 is: 1,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.61 : 4,009.04 = 824.98 : x
  2. Step 2: Convert to fraction form
    2,672.61/4,009.04 = 824.98/x
  3. Step 3: Cross multiply
    2,672.61x = 4,009.04 × 824.98
  4. Step 4: Simplify right side
    2,672.61x = 3,307,377.82
  5. Step 5: Solve for x
    x = 3,307,377.82/2,672.61
  6. Step 6: Final answer
    x = 1,237.51

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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.