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Finding the Fourth Proportional to 7,815.76, 10,786.04 and 4,279

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Solution

The fourth proportional to 7,815.76, 10,786.04 and 4,279 is: 5,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.76 : 10,786.04 = 4,279 : x
  2. Step 2: Convert to fraction form
    7,815.76/10,786.04 = 4,279/x
  3. Step 3: Cross multiply
    7,815.76x = 10,786.04 × 4,279
  4. Step 4: Simplify right side
    7,815.76x = 46,153,465.16
  5. Step 5: Solve for x
    x = 46,153,465.16/7,815.76
  6. Step 6: Final answer
    x = 5,905.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.