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Finding the Fourth Proportional to 7,784.67, 11,677.37 and 2,237.89

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Solution

The fourth proportional to 7,784.67, 11,677.37 and 2,237.89 is: 3,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.67 : 11,677.37 = 2,237.89 : x
  2. Step 2: Convert to fraction form
    7,784.67/11,677.37 = 2,237.89/x
  3. Step 3: Cross multiply
    7,784.67x = 11,677.37 × 2,237.89
  4. Step 4: Simplify right side
    7,784.67x = 26,132,667.48
  5. Step 5: Solve for x
    x = 26,132,667.48/7,784.67
  6. Step 6: Final answer
    x = 3,356.94

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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.