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Finding the Fourth Proportional to 7,911.16, 11,865.08 and 2,980.68

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Solution

The fourth proportional to 7,911.16, 11,865.08 and 2,980.68 is: 4,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.16 : 11,865.08 = 2,980.68 : x
  2. Step 2: Convert to fraction form
    7,911.16/11,865.08 = 2,980.68/x
  3. Step 3: Cross multiply
    7,911.16x = 11,865.08 × 2,980.68
  4. Step 4: Simplify right side
    7,911.16x = 35,366,006.65
  5. Step 5: Solve for x
    x = 35,366,006.65/7,911.16
  6. Step 6: Final answer
    x = 4,470.39

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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.