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Finding the Fourth Proportional to 7,774.02, 11,661 and 1,930.68

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Solution

The fourth proportional to 7,774.02, 11,661 and 1,930.68 is: 2,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.02 : 11,661 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    7,774.02/11,661 = 1,930.68/x
  3. Step 3: Cross multiply
    7,774.02x = 11,661 × 1,930.68
  4. Step 4: Simplify right side
    7,774.02x = 22,513,659.48
  5. Step 5: Solve for x
    x = 22,513,659.48/7,774.02
  6. Step 6: Final answer
    x = 2,896.01

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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.