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Finding the Fourth Proportional to 7,860.65, 11,783.05 and 3,905.82

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Solution

The fourth proportional to 7,860.65, 11,783.05 and 3,905.82 is: 5,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.65 : 11,783.05 = 3,905.82 : x
  2. Step 2: Convert to fraction form
    7,860.65/11,783.05 = 3,905.82/x
  3. Step 3: Cross multiply
    7,860.65x = 11,783.05 × 3,905.82
  4. Step 4: Simplify right side
    7,860.65x = 46,022,484.56
  5. Step 5: Solve for x
    x = 46,022,484.56/7,860.65
  6. Step 6: Final answer
    x = 5,854.80

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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.