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Finding the Fourth Proportional to 4,781, 7,169.68 and 1,858.92

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Solution

The fourth proportional to 4,781, 7,169.68 and 1,858.92 is: 2,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781 : 7,169.68 = 1,858.92 : x
  2. Step 2: Convert to fraction form
    4,781/7,169.68 = 1,858.92/x
  3. Step 3: Cross multiply
    4,781x = 7,169.68 × 1,858.92
  4. Step 4: Simplify right side
    4,781x = 13,327,861.55
  5. Step 5: Solve for x
    x = 13,327,861.55/4,781
  6. Step 6: Final answer
    x = 2,787.67

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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.