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Finding the Fourth Proportional to 7,804.91, 11,711.99 and 2,878.01

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Solution

The fourth proportional to 7,804.91, 11,711.99 and 2,878.01 is: 4,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.91 : 11,711.99 = 2,878.01 : x
  2. Step 2: Convert to fraction form
    7,804.91/11,711.99 = 2,878.01/x
  3. Step 3: Cross multiply
    7,804.91x = 11,711.99 × 2,878.01
  4. Step 4: Simplify right side
    7,804.91x = 33,707,224.34
  5. Step 5: Solve for x
    x = 33,707,224.34/7,804.91
  6. Step 6: Final answer
    x = 4,318.72

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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.