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Finding the Fourth Proportional to 26,490.42, 39,728.88 and 7,765.38

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Solution

The fourth proportional to 26,490.42, 39,728.88 and 7,765.38 is: 11,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,490.42 : 39,728.88 = 7,765.38 : x
  2. Step 2: Convert to fraction form
    26,490.42/39,728.88 = 7,765.38/x
  3. Step 3: Cross multiply
    26,490.42x = 39,728.88 × 7,765.38
  4. Step 4: Simplify right side
    26,490.42x = 308,509,850.17
  5. Step 5: Solve for x
    x = 308,509,850.17/26,490.42
  6. Step 6: Final answer
    x = 11,646.09

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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.