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Finding the Fourth Proportional to 10,956.80, 16,435.20 and 4,719.80

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Solution

The fourth proportional to 10,956.80, 16,435.20 and 4,719.80 is: 7,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.80 : 16,435.20 = 4,719.80 : x
  2. Step 2: Convert to fraction form
    10,956.80/16,435.20 = 4,719.80/x
  3. Step 3: Cross multiply
    10,956.80x = 16,435.20 × 4,719.80
  4. Step 4: Simplify right side
    10,956.80x = 77,570,856.96
  5. Step 5: Solve for x
    x = 77,570,856.96/10,956.80
  6. Step 6: Final answer
    x = 7,079.70

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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.