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Finding the Fourth Proportional to 6,807.87, 9,386.69 and 4,916.43

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Solution

The fourth proportional to 6,807.87, 9,386.69 and 4,916.43 is: 6,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.87 : 9,386.69 = 4,916.43 : x
  2. Step 2: Convert to fraction form
    6,807.87/9,386.69 = 4,916.43/x
  3. Step 3: Cross multiply
    6,807.87x = 9,386.69 × 4,916.43
  4. Step 4: Simplify right side
    6,807.87x = 46,148,979.73
  5. Step 5: Solve for x
    x = 46,148,979.73/6,807.87
  6. Step 6: Final answer
    x = 6,778.77

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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.