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Finding the Fourth Proportional to 4,916.78, 6,785.53 and 2,792.69

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Solution

The fourth proportional to 4,916.78, 6,785.53 and 2,792.69 is: 3,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.78 : 6,785.53 = 2,792.69 : x
  2. Step 2: Convert to fraction form
    4,916.78/6,785.53 = 2,792.69/x
  3. Step 3: Cross multiply
    4,916.78x = 6,785.53 × 2,792.69
  4. Step 4: Simplify right side
    4,916.78x = 18,949,840.87
  5. Step 5: Solve for x
    x = 18,949,840.87/4,916.78
  6. Step 6: Final answer
    x = 3,854.12

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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.