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Finding the Fourth Proportional to 7,804.31, 11,706.48 and 3,187.31

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Solution

The fourth proportional to 7,804.31, 11,706.48 and 3,187.31 is: 4,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.31 : 11,706.48 = 3,187.31 : x
  2. Step 2: Convert to fraction form
    7,804.31/11,706.48 = 3,187.31/x
  3. Step 3: Cross multiply
    7,804.31x = 11,706.48 × 3,187.31
  4. Step 4: Simplify right side
    7,804.31x = 37,312,210.04
  5. Step 5: Solve for x
    x = 37,312,210.04/7,804.31
  6. Step 6: Final answer
    x = 4,780.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.