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Finding the Fourth Proportional to 7,790.04, 11,678.11 and 2,858.53

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Solution

The fourth proportional to 7,790.04, 11,678.11 and 2,858.53 is: 4,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.04 : 11,678.11 = 2,858.53 : x
  2. Step 2: Convert to fraction form
    7,790.04/11,678.11 = 2,858.53/x
  3. Step 3: Cross multiply
    7,790.04x = 11,678.11 × 2,858.53
  4. Step 4: Simplify right side
    7,790.04x = 33,382,227.78
  5. Step 5: Solve for x
    x = 33,382,227.78/7,790.04
  6. Step 6: Final answer
    x = 4,285.24

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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.