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Finding the Fourth Proportional to 9,956.78, 13,736.22 and 6,178.67

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Solution

The fourth proportional to 9,956.78, 13,736.22 and 6,178.67 is: 8,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.78 : 13,736.22 = 6,178.67 : x
  2. Step 2: Convert to fraction form
    9,956.78/13,736.22 = 6,178.67/x
  3. Step 3: Cross multiply
    9,956.78x = 13,736.22 × 6,178.67
  4. Step 4: Simplify right side
    9,956.78x = 84,871,570.43
  5. Step 5: Solve for x
    x = 84,871,570.43/9,956.78
  6. Step 6: Final answer
    x = 8,524.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.