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Finding the Fourth Proportional to 7,807.77, 10,771.70 and 4,974.64

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Solution

The fourth proportional to 7,807.77, 10,771.70 and 4,974.64 is: 6,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.77 : 10,771.70 = 4,974.64 : x
  2. Step 2: Convert to fraction form
    7,807.77/10,771.70 = 4,974.64/x
  3. Step 3: Cross multiply
    7,807.77x = 10,771.70 × 4,974.64
  4. Step 4: Simplify right side
    7,807.77x = 53,585,250.96
  5. Step 5: Solve for x
    x = 53,585,250.96/7,807.77
  6. Step 6: Final answer
    x = 6,863.07

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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.