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Finding the Fourth Proportional to 5,927.05, 8,892.12 and 1,978.91

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Solution

The fourth proportional to 5,927.05, 8,892.12 and 1,978.91 is: 2,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.05 : 8,892.12 = 1,978.91 : x
  2. Step 2: Convert to fraction form
    5,927.05/8,892.12 = 1,978.91/x
  3. Step 3: Cross multiply
    5,927.05x = 8,892.12 × 1,978.91
  4. Step 4: Simplify right side
    5,927.05x = 17,596,705.19
  5. Step 5: Solve for x
    x = 17,596,705.19/5,927.05
  6. Step 6: Final answer
    x = 2,968.88

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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.