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Finding the Fourth Proportional to 10,624.80, 15,944.40 and 4,778.40

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Solution

The fourth proportional to 10,624.80, 15,944.40 and 4,778.40 is: 7,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.80 : 15,944.40 = 4,778.40 : x
  2. Step 2: Convert to fraction form
    10,624.80/15,944.40 = 4,778.40/x
  3. Step 3: Cross multiply
    10,624.80x = 15,944.40 × 4,778.40
  4. Step 4: Simplify right side
    10,624.80x = 76,188,720.96
  5. Step 5: Solve for x
    x = 76,188,720.96/10,624.80
  6. Step 6: Final answer
    x = 7,170.84

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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.