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Finding the Fourth Proportional to 26,677.81, 40,018.98 and 7,956.64

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Solution

The fourth proportional to 26,677.81, 40,018.98 and 7,956.64 is: 11,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.81 : 40,018.98 = 7,956.64 : x
  2. Step 2: Convert to fraction form
    26,677.81/40,018.98 = 7,956.64/x
  3. Step 3: Cross multiply
    26,677.81x = 40,018.98 × 7,956.64
  4. Step 4: Simplify right side
    26,677.81x = 318,416,617.03
  5. Step 5: Solve for x
    x = 318,416,617.03/26,677.81
  6. Step 6: Final answer
    x = 11,935.64

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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.