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Finding the Fourth Proportional to 7,861, 11,794.54 and 2,666.86

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Solution

The fourth proportional to 7,861, 11,794.54 and 2,666.86 is: 4,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861 : 11,794.54 = 2,666.86 : x
  2. Step 2: Convert to fraction form
    7,861/11,794.54 = 2,666.86/x
  3. Step 3: Cross multiply
    7,861x = 11,794.54 × 2,666.86
  4. Step 4: Simplify right side
    7,861x = 31,454,386.94
  5. Step 5: Solve for x
    x = 31,454,386.94/7,861
  6. Step 6: Final answer
    x = 4,001.32

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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.