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Finding the Fourth Proportional to 26,456, 39,690.60 and 7,988

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Solution

The fourth proportional to 26,456, 39,690.60 and 7,988 is: 11,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,456 : 39,690.60 = 7,988 : x
  2. Step 2: Convert to fraction form
    26,456/39,690.60 = 7,988/x
  3. Step 3: Cross multiply
    26,456x = 39,690.60 × 7,988
  4. Step 4: Simplify right side
    26,456x = 317,048,512.80
  5. Step 5: Solve for x
    x = 317,048,512.80/26,456
  6. Step 6: Final answer
    x = 11,983.99

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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.