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Finding the Fourth Proportional to 5,780.76, 8,664.78 and 2,269.68

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Solution

The fourth proportional to 5,780.76, 8,664.78 and 2,269.68 is: 3,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.76 : 8,664.78 = 2,269.68 : x
  2. Step 2: Convert to fraction form
    5,780.76/8,664.78 = 2,269.68/x
  3. Step 3: Cross multiply
    5,780.76x = 8,664.78 × 2,269.68
  4. Step 4: Simplify right side
    5,780.76x = 19,666,277.87
  5. Step 5: Solve for x
    x = 19,666,277.87/5,780.76
  6. Step 6: Final answer
    x = 3,402.02

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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.