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Finding the Fourth Proportional to 8,902.63, 13,355.76 and 2,978.80

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Solution

The fourth proportional to 8,902.63, 13,355.76 and 2,978.80 is: 4,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.63 : 13,355.76 = 2,978.80 : x
  2. Step 2: Convert to fraction form
    8,902.63/13,355.76 = 2,978.80/x
  3. Step 3: Cross multiply
    8,902.63x = 13,355.76 × 2,978.80
  4. Step 4: Simplify right side
    8,902.63x = 39,784,137.89
  5. Step 5: Solve for x
    x = 39,784,137.89/8,902.63
  6. Step 6: Final answer
    x = 4,468.81

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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.