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Finding the Fourth Proportional to 26,380, 39,567.52 and 7,664.96

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Solution

The fourth proportional to 26,380, 39,567.52 and 7,664.96 is: 11,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380 : 39,567.52 = 7,664.96 : x
  2. Step 2: Convert to fraction form
    26,380/39,567.52 = 7,664.96/x
  3. Step 3: Cross multiply
    26,380x = 39,567.52 × 7,664.96
  4. Step 4: Simplify right side
    26,380x = 303,283,458.10
  5. Step 5: Solve for x
    x = 303,283,458.10/26,380
  6. Step 6: Final answer
    x = 11,496.72

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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.