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Finding the Fourth Proportional to 2,916.84, 4,020.51 and 2,469.72

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Solution

The fourth proportional to 2,916.84, 4,020.51 and 2,469.72 is: 3,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.84 : 4,020.51 = 2,469.72 : x
  2. Step 2: Convert to fraction form
    2,916.84/4,020.51 = 2,469.72/x
  3. Step 3: Cross multiply
    2,916.84x = 4,020.51 × 2,469.72
  4. Step 4: Simplify right side
    2,916.84x = 9,929,533.96
  5. Step 5: Solve for x
    x = 9,929,533.96/2,916.84
  6. Step 6: Final answer
    x = 3,404.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.