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Finding the Fourth Proportional to 7,785, 11,678.73 and 2,592.09

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Solution

The fourth proportional to 7,785, 11,678.73 and 2,592.09 is: 3,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 11,678.73 = 2,592.09 : x
  2. Step 2: Convert to fraction form
    7,785/11,678.73 = 2,592.09/x
  3. Step 3: Cross multiply
    7,785x = 11,678.73 × 2,592.09
  4. Step 4: Simplify right side
    7,785x = 30,272,319.25
  5. Step 5: Solve for x
    x = 30,272,319.25/7,785
  6. Step 6: Final answer
    x = 3,888.54

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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.