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Finding the Fourth Proportional to 2,672.36, 4,006.96 and 916.76

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Solution

The fourth proportional to 2,672.36, 4,006.96 and 916.76 is: 1,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.36 : 4,006.96 = 916.76 : x
  2. Step 2: Convert to fraction form
    2,672.36/4,006.96 = 916.76/x
  3. Step 3: Cross multiply
    2,672.36x = 4,006.96 × 916.76
  4. Step 4: Simplify right side
    2,672.36x = 3,673,420.65
  5. Step 5: Solve for x
    x = 3,673,420.65/2,672.36
  6. Step 6: Final answer
    x = 1,374.60

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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.