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Finding the Fourth Proportional to 7,807.35, 10,774.10 and 4,450.31

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Solution

The fourth proportional to 7,807.35, 10,774.10 and 4,450.31 is: 6,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.35 : 10,774.10 = 4,450.31 : x
  2. Step 2: Convert to fraction form
    7,807.35/10,774.10 = 4,450.31/x
  3. Step 3: Cross multiply
    7,807.35x = 10,774.10 × 4,450.31
  4. Step 4: Simplify right side
    7,807.35x = 47,948,008.85
  5. Step 5: Solve for x
    x = 47,948,008.85/7,807.35
  6. Step 6: Final answer
    x = 6,141.39

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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.