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Finding the Fourth Proportional to 7,835.40, 11,753.91 and 5,393.25

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Solution

The fourth proportional to 7,835.40, 11,753.91 and 5,393.25 is: 8,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.40 : 11,753.91 = 5,393.25 : x
  2. Step 2: Convert to fraction form
    7,835.40/11,753.91 = 5,393.25/x
  3. Step 3: Cross multiply
    7,835.40x = 11,753.91 × 5,393.25
  4. Step 4: Simplify right side
    7,835.40x = 63,391,775.11
  5. Step 5: Solve for x
    x = 63,391,775.11/7,835.40
  6. Step 6: Final answer
    x = 8,090.43

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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.