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Finding the Fourth Proportional to 26,840.96, 40,264.64 and 12,980

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Solution

The fourth proportional to 26,840.96, 40,264.64 and 12,980 is: 19,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,840.96 : 40,264.64 = 12,980 : x
  2. Step 2: Convert to fraction form
    26,840.96/40,264.64 = 12,980/x
  3. Step 3: Cross multiply
    26,840.96x = 40,264.64 × 12,980
  4. Step 4: Simplify right side
    26,840.96x = 522,635,027.20
  5. Step 5: Solve for x
    x = 522,635,027.20/26,840.96
  6. Step 6: Final answer
    x = 19,471.55

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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.