Home / 7,876.83-11,815.40-2,330.17

Finding the Fourth Proportional to 7,876.83, 11,815.40 and 2,330.17

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Solution

The fourth proportional to 7,876.83, 11,815.40 and 2,330.17 is: 3,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.83 : 11,815.40 = 2,330.17 : x
  2. Step 2: Convert to fraction form
    7,876.83/11,815.40 = 2,330.17/x
  3. Step 3: Cross multiply
    7,876.83x = 11,815.40 × 2,330.17
  4. Step 4: Simplify right side
    7,876.83x = 27,531,890.62
  5. Step 5: Solve for x
    x = 27,531,890.62/7,876.83
  6. Step 6: Final answer
    x = 3,495.30

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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.