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Finding the Fourth Proportional to 7,840.76, 11,762.49 and 2,645.42

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Solution

The fourth proportional to 7,840.76, 11,762.49 and 2,645.42 is: 3,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.76 : 11,762.49 = 2,645.42 : x
  2. Step 2: Convert to fraction form
    7,840.76/11,762.49 = 2,645.42/x
  3. Step 3: Cross multiply
    7,840.76x = 11,762.49 × 2,645.42
  4. Step 4: Simplify right side
    7,840.76x = 31,116,726.30
  5. Step 5: Solve for x
    x = 31,116,726.30/7,840.76
  6. Step 6: Final answer
    x = 3,968.59

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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.