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Finding the Fourth Proportional to 5,978.56, 8,962.08 and 3,781.84

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Solution

The fourth proportional to 5,978.56, 8,962.08 and 3,781.84 is: 5,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.56 : 8,962.08 = 3,781.84 : x
  2. Step 2: Convert to fraction form
    5,978.56/8,962.08 = 3,781.84/x
  3. Step 3: Cross multiply
    5,978.56x = 8,962.08 × 3,781.84
  4. Step 4: Simplify right side
    5,978.56x = 33,893,152.63
  5. Step 5: Solve for x
    x = 33,893,152.63/5,978.56
  6. Step 6: Final answer
    x = 5,669.12

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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.