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Finding the Fourth Proportional to 26,448, 39,671.76 and 7,980

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Solution

The fourth proportional to 26,448, 39,671.76 and 7,980 is: 11,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448 : 39,671.76 = 7,980 : x
  2. Step 2: Convert to fraction form
    26,448/39,671.76 = 7,980/x
  3. Step 3: Cross multiply
    26,448x = 39,671.76 × 7,980
  4. Step 4: Simplify right side
    26,448x = 316,580,644.80
  5. Step 5: Solve for x
    x = 316,580,644.80/26,448
  6. Step 6: Final answer
    x = 11,969.93

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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.