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Finding the Fourth Proportional to 12,188.96, 16,828.56 and 9,956.20

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Solution

The fourth proportional to 12,188.96, 16,828.56 and 9,956.20 is: 13,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.96 : 16,828.56 = 9,956.20 : x
  2. Step 2: Convert to fraction form
    12,188.96/16,828.56 = 9,956.20/x
  3. Step 3: Cross multiply
    12,188.96x = 16,828.56 × 9,956.20
  4. Step 4: Simplify right side
    12,188.96x = 167,548,509.07
  5. Step 5: Solve for x
    x = 167,548,509.07/12,188.96
  6. Step 6: Final answer
    x = 13,745.92

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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.