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Finding the Fourth Proportional to 27,160.98, 40,739.87 and 7,438.08

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Solution

The fourth proportional to 27,160.98, 40,739.87 and 7,438.08 is: 11,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160.98 : 40,739.87 = 7,438.08 : x
  2. Step 2: Convert to fraction form
    27,160.98/40,739.87 = 7,438.08/x
  3. Step 3: Cross multiply
    27,160.98x = 40,739.87 × 7,438.08
  4. Step 4: Simplify right side
    27,160.98x = 303,026,412.25
  5. Step 5: Solve for x
    x = 303,026,412.25/27,160.98
  6. Step 6: Final answer
    x = 11,156.68

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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.